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$4 {(15 - 3 x)}^{3} {(x + 9)}^{8}$

خطوة 1

بسّط متعدد الحدود، ثم أعِد ترتيبه من اليسار إلى اليمين بدءًا من الحد ذي الدرجة الأعلى.

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خطوة 1.1

استخدِم مبرهنة ذات الحدين.

$4 (15^{3} + 3 \cdot 15^{2} (- 3 x) + 3 \cdot 15 {(- 3 x)}^{2} + {(- 3 x)}^{3}) {(x + 9)}^{8}$

خطوة 1.2

بسّط الحدود.

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خطوة 1.2.1

بسّط كل حد.

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خطوة 1.2.1.1

ارفع $15$ إلى القوة $3$ .

$4 (3375 + 3 \cdot 15^{2} (- 3 x) + 3 \cdot 15 {(- 3 x)}^{2} + {(- 3 x)}^{3}) {(x + 9)}^{8}$

خطوة 1.2.1.2

ارفع $15$ إلى القوة $2$ .

$4 (3375 + 3 \cdot 225 (- 3 x) + 3 \cdot 15 {(- 3 x)}^{2} + {(- 3 x)}^{3}) {(x + 9)}^{8}$

خطوة 1.2.1.3

اضرب $3$ في $225$ .

$4 (3375 + 675 (- 3 x) + 3 \cdot 15 {(- 3 x)}^{2} + {(- 3 x)}^{3}) {(x + 9)}^{8}$

خطوة 1.2.1.4

اضرب $- 3$ في $675$ .

$4 (3375 - 2025 x + 3 \cdot 15 {(- 3 x)}^{2} + {(- 3 x)}^{3}) {(x + 9)}^{8}$

خطوة 1.2.1.5

اضرب $3$ في $15$ .

$4 (3375 - 2025 x + 45 {(- 3 x)}^{2} + {(- 3 x)}^{3}) {(x + 9)}^{8}$

خطوة 1.2.1.6

طبّق قاعدة الضرب على $- 3 x$ .

$4 (3375 - 2025 x + 45 ({(- 3)}^{2} x^{2}) + {(- 3 x)}^{3}) {(x + 9)}^{8}$

خطوة 1.2.1.7

ارفع $- 3$ إلى القوة $2$ .

$4 (3375 - 2025 x + 45 (9 x^{2}) + {(- 3 x)}^{3}) {(x + 9)}^{8}$

خطوة 1.2.1.8

اضرب $9$ في $45$ .

$4 (3375 - 2025 x + 405 x^{2} + {(- 3 x)}^{3}) {(x + 9)}^{8}$

خطوة 1.2.1.9

طبّق قاعدة الضرب على $- 3 x$ .

$4 (3375 - 2025 x + 405 x^{2} + {(- 3)}^{3} x^{3}) {(x + 9)}^{8}$

خطوة 1.2.1.10

ارفع $- 3$ إلى القوة $3$ .

$4 (3375 - 2025 x + 405 x^{2} - 27 x^{3}) {(x + 9)}^{8}$

خطوة 1.2.2

طبّق خاصية التوزيع.

$(4 \cdot 3375 + 4 (- 2025 x) + 4 (405 x^{2}) + 4 (- 27 x^{3})) {(x + 9)}^{8}$

خطوة 1.3

بسّط.

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خطوة 1.3.1

اضرب $4$ في $3375$ .

$(13500 + 4 (- 2025 x) + 4 (405 x^{2}) + 4 (- 27 x^{3})) {(x + 9)}^{8}$

خطوة 1.3.2

اضرب $- 2025$ في $4$ .

$(13500 - 8100 x + 4 (405 x^{2}) + 4 (- 27 x^{3})) {(x + 9)}^{8}$

خطوة 1.3.3

اضرب $405$ في $4$ .

$(13500 - 8100 x + 1620 x^{2} + 4 (- 27 x^{3})) {(x + 9)}^{8}$

خطوة 1.3.4

اضرب $- 27$ في $4$ .

$(13500 - 8100 x + 1620 x^{2} - 108 x^{3}) {(x + 9)}^{8}$

خطوة 1.4

استخدِم مبرهنة ذات الحدين.

$(13500 - 8100 x + 1620 x^{2} - 108 x^{3}) (x^{8} + 8 x^{7} \cdot 9 + 28 x^{6} \cdot 9^{2} + 56 x^{5} \cdot 9^{3} + 70 x^{4} \cdot 9^{4} + 56 x^{3} \cdot 9^{5} + 28 x^{2} \cdot 9^{6} + 8 x \cdot 9^{7} + 9^{8})$

خطوة 1.5

بسّط كل حد.

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خطوة 1.5.1

اضرب $9$ في $8$ .

$(13500 - 8100 x + 1620 x^{2} - 108 x^{3}) (x^{8} + 72 x^{7} + 28 x^{6} \cdot 9^{2} + 56 x^{5} \cdot 9^{3} + 70 x^{4} \cdot 9^{4} + 56 x^{3} \cdot 9^{5} + 28 x^{2} \cdot 9^{6} + 8 x \cdot 9^{7} + 9^{8})$

خطوة 1.5.2

ارفع $9$ إلى القوة $2$ .

$(13500 - 8100 x + 1620 x^{2} - 108 x^{3}) (x^{8} + 72 x^{7} + 28 x^{6} \cdot 81 + 56 x^{5} \cdot 9^{3} + 70 x^{4} \cdot 9^{4} + 56 x^{3} \cdot 9^{5} + 28 x^{2} \cdot 9^{6} + 8 x \cdot 9^{7} + 9^{8})$

خطوة 1.5.3

اضرب $81$ في $28$ .

$(13500 - 8100 x + 1620 x^{2} - 108 x^{3}) (x^{8} + 72 x^{7} + 2268 x^{6} + 56 x^{5} \cdot 9^{3} + 70 x^{4} \cdot 9^{4} + 56 x^{3} \cdot 9^{5} + 28 x^{2} \cdot 9^{6} + 8 x \cdot 9^{7} + 9^{8})$

خطوة 1.5.4

ارفع $9$ إلى القوة $3$ .

$(13500 - 8100 x + 1620 x^{2} - 108 x^{3}) (x^{8} + 72 x^{7} + 2268 x^{6} + 56 x^{5} \cdot 729 + 70 x^{4} \cdot 9^{4} + 56 x^{3} \cdot 9^{5} + 28 x^{2} \cdot 9^{6} + 8 x \cdot 9^{7} + 9^{8})$

خطوة 1.5.5

اضرب $729$ في $56$ .

$(13500 - 8100 x + 1620 x^{2} - 108 x^{3}) (x^{8} + 72 x^{7} + 2268 x^{6} + 40824 x^{5} + 70 x^{4} \cdot 9^{4} + 56 x^{3} \cdot 9^{5} + 28 x^{2} \cdot 9^{6} + 8 x \cdot 9^{7} + 9^{8})$

خطوة 1.5.6

ارفع $9$ إلى القوة $4$ .

$(13500 - 8100 x + 1620 x^{2} - 108 x^{3}) (x^{8} + 72 x^{7} + 2268 x^{6} + 40824 x^{5} + 70 x^{4} \cdot 6561 + 56 x^{3} \cdot 9^{5} + 28 x^{2} \cdot 9^{6} + 8 x \cdot 9^{7} + 9^{8})$

خطوة 1.5.7

اضرب $6561$ في $70$ .

$(13500 - 8100 x + 1620 x^{2} - 108 x^{3}) (x^{8} + 72 x^{7} + 2268 x^{6} + 40824 x^{5} + 459270 x^{4} + 56 x^{3} \cdot 9^{5} + 28 x^{2} \cdot 9^{6} + 8 x \cdot 9^{7} + 9^{8})$

خطوة 1.5.8

ارفع $9$ إلى القوة $5$ .

$(13500 - 8100 x + 1620 x^{2} - 108 x^{3}) (x^{8} + 72 x^{7} + 2268 x^{6} + 40824 x^{5} + 459270 x^{4} + 56 x^{3} \cdot 59049 + 28 x^{2} \cdot 9^{6} + 8 x \cdot 9^{7} + 9^{8})$

خطوة 1.5.9

اضرب $59049$ في $56$ .

$(13500 - 8100 x + 1620 x^{2} - 108 x^{3}) (x^{8} + 72 x^{7} + 2268 x^{6} + 40824 x^{5} + 459270 x^{4} + 3306744 x^{3} + 28 x^{2} \cdot 9^{6} + 8 x \cdot 9^{7} + 9^{8})$

خطوة 1.5.10

ارفع $9$ إلى القوة $6$ .

$(13500 - 8100 x + 1620 x^{2} - 108 x^{3}) (x^{8} + 72 x^{7} + 2268 x^{6} + 40824 x^{5} + 459270 x^{4} + 3306744 x^{3} + 28 x^{2} \cdot 531441 + 8 x \cdot 9^{7} + 9^{8})$

خطوة 1.5.11

اضرب $531441$ في $28$ .

$(13500 - 8100 x + 1620 x^{2} - 108 x^{3}) (x^{8} + 72 x^{7} + 2268 x^{6} + 40824 x^{5} + 459270 x^{4} + 3306744 x^{3} + 14880348 x^{2} + 8 x \cdot 9^{7} + 9^{8})$

خطوة 1.5.12

ارفع $9$ إلى القوة $7$ .

$(13500 - 8100 x + 1620 x^{2} - 108 x^{3}) (x^{8} + 72 x^{7} + 2268 x^{6} + 40824 x^{5} + 459270 x^{4} + 3306744 x^{3} + 14880348 x^{2} + 8 x \cdot 4782969 + 9^{8})$

خطوة 1.5.13

اضرب $4782969$ في $8$ .

$(13500 - 8100 x + 1620 x^{2} - 108 x^{3}) (x^{8} + 72 x^{7} + 2268 x^{6} + 40824 x^{5} + 459270 x^{4} + 3306744 x^{3} + 14880348 x^{2} + 38263752 x + 9^{8})$

خطوة 1.5.14

ارفع $9$ إلى القوة $8$ .

$(13500 - 8100 x + 1620 x^{2} - 108 x^{3}) (x^{8} + 72 x^{7} + 2268 x^{6} + 40824 x^{5} + 459270 x^{4} + 3306744 x^{3} + 14880348 x^{2} + 38263752 x + 43046721)$

خطوة 1.6

وسّع $(13500 - 8100 x + 1620 x^{2} - 108 x^{3}) (x^{8} + 72 x^{7} + 2268 x^{6} + 40824 x^{5} + 459270 x^{4} + 3306744 x^{3} + 14880348 x^{2} + 38263752 x + 43046721)$ بضرب كل حد في العبارة الأولى في كل حد في العبارة الثانية.

$13500 x^{8} + 13500 (72 x^{7}) + 13500 (2268 x^{6}) + 13500 (40824 x^{5}) + 13500 (459270 x^{4}) + 13500 (3306744 x^{3}) + 13500 (14880348 x^{2}) + 13500 (38263752 x) + 13500 \cdot 43046721 - 8100 x \cdot x^{8} - 8100 x (72 x^{7}) - 8100 x (2268 x^{6}) - 8100 x (40824 x^{5}) - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7

بسّط الحدود.

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خطوة 1.7.1

بسّط كل حد.

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خطوة 1.7.1.1

اضرب $72$ في $13500$ .

$13500 x^{8} + 972000 x^{7} + 13500 (2268 x^{6}) + 13500 (40824 x^{5}) + 13500 (459270 x^{4}) + 13500 (3306744 x^{3}) + 13500 (14880348 x^{2}) + 13500 (38263752 x) + 13500 \cdot 43046721 - 8100 x \cdot x^{8} - 8100 x (72 x^{7}) - 8100 x (2268 x^{6}) - 8100 x (40824 x^{5}) - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.2

اضرب $2268$ في $13500$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 13500 (40824 x^{5}) + 13500 (459270 x^{4}) + 13500 (3306744 x^{3}) + 13500 (14880348 x^{2}) + 13500 (38263752 x) + 13500 \cdot 43046721 - 8100 x \cdot x^{8} - 8100 x (72 x^{7}) - 8100 x (2268 x^{6}) - 8100 x (40824 x^{5}) - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.3

اضرب $40824$ في $13500$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 13500 (459270 x^{4}) + 13500 (3306744 x^{3}) + 13500 (14880348 x^{2}) + 13500 (38263752 x) + 13500 \cdot 43046721 - 8100 x \cdot x^{8} - 8100 x (72 x^{7}) - 8100 x (2268 x^{6}) - 8100 x (40824 x^{5}) - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.4

اضرب $459270$ في $13500$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 13500 (3306744 x^{3}) + 13500 (14880348 x^{2}) + 13500 (38263752 x) + 13500 \cdot 43046721 - 8100 x \cdot x^{8} - 8100 x (72 x^{7}) - 8100 x (2268 x^{6}) - 8100 x (40824 x^{5}) - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.5

اضرب $3306744$ في $13500$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 13500 (14880348 x^{2}) + 13500 (38263752 x) + 13500 \cdot 43046721 - 8100 x \cdot x^{8} - 8100 x (72 x^{7}) - 8100 x (2268 x^{6}) - 8100 x (40824 x^{5}) - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.6

اضرب $14880348$ في $13500$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 13500 (38263752 x) + 13500 \cdot 43046721 - 8100 x \cdot x^{8} - 8100 x (72 x^{7}) - 8100 x (2268 x^{6}) - 8100 x (40824 x^{5}) - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.7

اضرب $38263752$ في $13500$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 13500 \cdot 43046721 - 8100 x \cdot x^{8} - 8100 x (72 x^{7}) - 8100 x (2268 x^{6}) - 8100 x (40824 x^{5}) - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.8

اضرب $13500$ في $43046721$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x \cdot x^{8} - 8100 x (72 x^{7}) - 8100 x (2268 x^{6}) - 8100 x (40824 x^{5}) - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.9

اضرب $x$ في $x^{8}$ بجمع الأُسس.

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خطوة 1.7.1.9.1

انقُل $x^{8}$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 (x^{8} x) - 8100 x (72 x^{7}) - 8100 x (2268 x^{6}) - 8100 x (40824 x^{5}) - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.9.2

اضرب $x^{8}$ في $x$ .

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خطوة 1.7.1.9.2.1

ارفع $x$ إلى القوة $1$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 (x^{8} x^{1}) - 8100 x (72 x^{7}) - 8100 x (2268 x^{6}) - 8100 x (40824 x^{5}) - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.9.2.2

استخدِم قاعدة القوة $a^{m} a^{n} = a^{m + n}$ لتجميع الأُسس.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{8 + 1} - 8100 x (72 x^{7}) - 8100 x (2268 x^{6}) - 8100 x (40824 x^{5}) - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.9.3

أضف $8$ و $1$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 8100 x (72 x^{7}) - 8100 x (2268 x^{6}) - 8100 x (40824 x^{5}) - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.10

أعِد الكتابة باستخدام خاصية الإبدال لعملية الضرب.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 8100 \cdot 72 x \cdot x^{7} - 8100 x (2268 x^{6}) - 8100 x (40824 x^{5}) - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.11

اضرب $x$ في $x^{7}$ بجمع الأُسس.

انقر لعرض المزيد من الخطوات...

خطوة 1.7.1.11.1

انقُل $x^{7}$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 8100 \cdot 72 (x^{7} x) - 8100 x (2268 x^{6}) - 8100 x (40824 x^{5}) - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.11.2

اضرب $x^{7}$ في $x$ .

انقر لعرض المزيد من الخطوات...

خطوة 1.7.1.11.2.1

ارفع $x$ إلى القوة $1$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 8100 \cdot 72 (x^{7} x^{1}) - 8100 x (2268 x^{6}) - 8100 x (40824 x^{5}) - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.11.2.2

استخدِم قاعدة القوة $a^{m} a^{n} = a^{m + n}$ لتجميع الأُسس.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 8100 \cdot 72 x^{7 + 1} - 8100 x (2268 x^{6}) - 8100 x (40824 x^{5}) - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.11.3

أضف $7$ و $1$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 8100 \cdot 72 x^{8} - 8100 x (2268 x^{6}) - 8100 x (40824 x^{5}) - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.12

اضرب $- 8100$ في $72$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 8100 x (2268 x^{6}) - 8100 x (40824 x^{5}) - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.13

أعِد الكتابة باستخدام خاصية الإبدال لعملية الضرب.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 8100 \cdot 2268 x \cdot x^{6} - 8100 x (40824 x^{5}) - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.14

اضرب $x$ في $x^{6}$ بجمع الأُسس.

انقر لعرض المزيد من الخطوات...

خطوة 1.7.1.14.1

انقُل $x^{6}$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 8100 \cdot 2268 (x^{6} x) - 8100 x (40824 x^{5}) - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.14.2

اضرب $x^{6}$ في $x$ .

انقر لعرض المزيد من الخطوات...

خطوة 1.7.1.14.2.1

ارفع $x$ إلى القوة $1$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 8100 \cdot 2268 (x^{6} x^{1}) - 8100 x (40824 x^{5}) - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.14.2.2

استخدِم قاعدة القوة $a^{m} a^{n} = a^{m + n}$ لتجميع الأُسس.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 8100 \cdot 2268 x^{6 + 1} - 8100 x (40824 x^{5}) - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.14.3

أضف $6$ و $1$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 8100 \cdot 2268 x^{7} - 8100 x (40824 x^{5}) - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.15

اضرب $- 8100$ في $2268$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 8100 x (40824 x^{5}) - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.16

أعِد الكتابة باستخدام خاصية الإبدال لعملية الضرب.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 8100 \cdot 40824 x \cdot x^{5} - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.17

اضرب $x$ في $x^{5}$ بجمع الأُسس.

انقر لعرض المزيد من الخطوات...

خطوة 1.7.1.17.1

انقُل $x^{5}$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 8100 \cdot 40824 (x^{5} x) - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.17.2

اضرب $x^{5}$ في $x$ .

انقر لعرض المزيد من الخطوات...

خطوة 1.7.1.17.2.1

ارفع $x$ إلى القوة $1$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 8100 \cdot 40824 (x^{5} x^{1}) - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.17.2.2

استخدِم قاعدة القوة $a^{m} a^{n} = a^{m + n}$ لتجميع الأُسس.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 8100 \cdot 40824 x^{5 + 1} - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.17.3

أضف $5$ و $1$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 8100 \cdot 40824 x^{6} - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.18

اضرب $- 8100$ في $40824$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 8100 x (459270 x^{4}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.19

أعِد الكتابة باستخدام خاصية الإبدال لعملية الضرب.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 8100 \cdot 459270 x \cdot x^{4} - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.20

اضرب $x$ في $x^{4}$ بجمع الأُسس.

انقر لعرض المزيد من الخطوات...

خطوة 1.7.1.20.1

انقُل $x^{4}$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 8100 \cdot 459270 (x^{4} x) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.20.2

اضرب $x^{4}$ في $x$ .

انقر لعرض المزيد من الخطوات...

خطوة 1.7.1.20.2.1

ارفع $x$ إلى القوة $1$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 8100 \cdot 459270 (x^{4} x^{1}) - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.20.2.2

استخدِم قاعدة القوة $a^{m} a^{n} = a^{m + n}$ لتجميع الأُسس.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 8100 \cdot 459270 x^{4 + 1} - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.20.3

أضف $4$ و $1$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 8100 \cdot 459270 x^{5} - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.21

اضرب $- 8100$ في $459270$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 8100 x (3306744 x^{3}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.22

أعِد الكتابة باستخدام خاصية الإبدال لعملية الضرب.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 8100 \cdot 3306744 x \cdot x^{3} - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.23

اضرب $x$ في $x^{3}$ بجمع الأُسس.

انقر لعرض المزيد من الخطوات...

خطوة 1.7.1.23.1

انقُل $x^{3}$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 8100 \cdot 3306744 (x^{3} x) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.23.2

اضرب $x^{3}$ في $x$ .

انقر لعرض المزيد من الخطوات...

خطوة 1.7.1.23.2.1

ارفع $x$ إلى القوة $1$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 8100 \cdot 3306744 (x^{3} x^{1}) - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.23.2.2

استخدِم قاعدة القوة $a^{m} a^{n} = a^{m + n}$ لتجميع الأُسس.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 8100 \cdot 3306744 x^{3 + 1} - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.23.3

أضف $3$ و $1$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 8100 \cdot 3306744 x^{4} - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.24

اضرب $- 8100$ في $3306744$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 8100 x (14880348 x^{2}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.25

أعِد الكتابة باستخدام خاصية الإبدال لعملية الضرب.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 8100 \cdot 14880348 x \cdot x^{2} - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.26

اضرب $x$ في $x^{2}$ بجمع الأُسس.

انقر لعرض المزيد من الخطوات...

خطوة 1.7.1.26.1

انقُل $x^{2}$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 8100 \cdot 14880348 (x^{2} x) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.26.2

اضرب $x^{2}$ في $x$ .

انقر لعرض المزيد من الخطوات...

خطوة 1.7.1.26.2.1

ارفع $x$ إلى القوة $1$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 8100 \cdot 14880348 (x^{2} x^{1}) - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.26.2.2

استخدِم قاعدة القوة $a^{m} a^{n} = a^{m + n}$ لتجميع الأُسس.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 8100 \cdot 14880348 x^{2 + 1} - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.26.3

أضف $2$ و $1$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 8100 \cdot 14880348 x^{3} - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.27

اضرب $- 8100$ في $14880348$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 8100 x (38263752 x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.28

أعِد الكتابة باستخدام خاصية الإبدال لعملية الضرب.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 8100 \cdot 38263752 x \cdot x - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.29

اضرب $x$ في $x$ بجمع الأُسس.

انقر لعرض المزيد من الخطوات...

خطوة 1.7.1.29.1

انقُل $x$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 8100 \cdot 38263752 (x \cdot x) - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.29.2

اضرب $x$ في $x$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 8100 \cdot 38263752 x^{2} - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.30

اضرب $- 8100$ في $38263752$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 8100 x \cdot 43046721 + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.31

اضرب $43046721$ في $- 8100$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{2} x^{8} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.32

اضرب $x^{2}$ في $x^{8}$ بجمع الأُسس.

انقر لعرض المزيد من الخطوات...

خطوة 1.7.1.32.1

انقُل $x^{8}$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 (x^{8} x^{2}) + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.32.2

استخدِم قاعدة القوة $a^{m} a^{n} = a^{m + n}$ لتجميع الأُسس.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{8 + 2} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.32.3

أضف $8$ و $2$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 1620 x^{2} (72 x^{7}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.33

أعِد الكتابة باستخدام خاصية الإبدال لعملية الضرب.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 1620 \cdot 72 x^{2} x^{7} + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.34

اضرب $x^{2}$ في $x^{7}$ بجمع الأُسس.

انقر لعرض المزيد من الخطوات...

خطوة 1.7.1.34.1

انقُل $x^{7}$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 1620 \cdot 72 (x^{7} x^{2}) + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.34.2

استخدِم قاعدة القوة $a^{m} a^{n} = a^{m + n}$ لتجميع الأُسس.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 1620 \cdot 72 x^{7 + 2} + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.34.3

أضف $7$ و $2$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 1620 \cdot 72 x^{9} + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.35

اضرب $1620$ في $72$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 1620 x^{2} (2268 x^{6}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.36

أعِد الكتابة باستخدام خاصية الإبدال لعملية الضرب.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 1620 \cdot 2268 x^{2} x^{6} + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.37

اضرب $x^{2}$ في $x^{6}$ بجمع الأُسس.

انقر لعرض المزيد من الخطوات...

خطوة 1.7.1.37.1

انقُل $x^{6}$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 1620 \cdot 2268 (x^{6} x^{2}) + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.37.2

استخدِم قاعدة القوة $a^{m} a^{n} = a^{m + n}$ لتجميع الأُسس.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 1620 \cdot 2268 x^{6 + 2} + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.37.3

أضف $6$ و $2$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 1620 \cdot 2268 x^{8} + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.38

اضرب $1620$ في $2268$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 1620 x^{2} (40824 x^{5}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.39

أعِد الكتابة باستخدام خاصية الإبدال لعملية الضرب.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 1620 \cdot 40824 x^{2} x^{5} + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.40

اضرب $x^{2}$ في $x^{5}$ بجمع الأُسس.

انقر لعرض المزيد من الخطوات...

خطوة 1.7.1.40.1

انقُل $x^{5}$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 1620 \cdot 40824 (x^{5} x^{2}) + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.40.2

استخدِم قاعدة القوة $a^{m} a^{n} = a^{m + n}$ لتجميع الأُسس.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 1620 \cdot 40824 x^{5 + 2} + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.40.3

أضف $5$ و $2$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 1620 \cdot 40824 x^{7} + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.41

اضرب $1620$ في $40824$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 1620 x^{2} (459270 x^{4}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.42

أعِد الكتابة باستخدام خاصية الإبدال لعملية الضرب.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 1620 \cdot 459270 x^{2} x^{4} + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.43

اضرب $x^{2}$ في $x^{4}$ بجمع الأُسس.

انقر لعرض المزيد من الخطوات...

خطوة 1.7.1.43.1

انقُل $x^{4}$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 1620 \cdot 459270 (x^{4} x^{2}) + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.43.2

استخدِم قاعدة القوة $a^{m} a^{n} = a^{m + n}$ لتجميع الأُسس.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 1620 \cdot 459270 x^{4 + 2} + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.43.3

أضف $4$ و $2$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 1620 \cdot 459270 x^{6} + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.44

اضرب $1620$ في $459270$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 1620 x^{2} (3306744 x^{3}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.45

أعِد الكتابة باستخدام خاصية الإبدال لعملية الضرب.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 1620 \cdot 3306744 x^{2} x^{3} + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.46

اضرب $x^{2}$ في $x^{3}$ بجمع الأُسس.

انقر لعرض المزيد من الخطوات...

خطوة 1.7.1.46.1

انقُل $x^{3}$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 1620 \cdot 3306744 (x^{3} x^{2}) + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.46.2

استخدِم قاعدة القوة $a^{m} a^{n} = a^{m + n}$ لتجميع الأُسس.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 1620 \cdot 3306744 x^{3 + 2} + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.46.3

أضف $3$ و $2$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 1620 \cdot 3306744 x^{5} + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.47

اضرب $1620$ في $3306744$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 1620 x^{2} (14880348 x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.48

أعِد الكتابة باستخدام خاصية الإبدال لعملية الضرب.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 1620 \cdot 14880348 x^{2} x^{2} + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.49

اضرب $x^{2}$ في $x^{2}$ بجمع الأُسس.

انقر لعرض المزيد من الخطوات...

خطوة 1.7.1.49.1

انقُل $x^{2}$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 1620 \cdot 14880348 (x^{2} x^{2}) + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.49.2

استخدِم قاعدة القوة $a^{m} a^{n} = a^{m + n}$ لتجميع الأُسس.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 1620 \cdot 14880348 x^{2 + 2} + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.49.3

أضف $2$ و $2$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 1620 \cdot 14880348 x^{4} + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.50

اضرب $1620$ في $14880348$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 1620 x^{2} (38263752 x) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.51

أعِد الكتابة باستخدام خاصية الإبدال لعملية الضرب.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 1620 \cdot 38263752 x^{2} x + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.52

اضرب $x^{2}$ في $x$ بجمع الأُسس.

انقر لعرض المزيد من الخطوات...

خطوة 1.7.1.52.1

انقُل $x$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 1620 \cdot 38263752 (x \cdot x^{2}) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.52.2

اضرب $x$ في $x^{2}$ .

انقر لعرض المزيد من الخطوات...

خطوة 1.7.1.52.2.1

ارفع $x$ إلى القوة $1$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 1620 \cdot 38263752 (x^{1} x^{2}) + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.52.2.2

استخدِم قاعدة القوة $a^{m} a^{n} = a^{m + n}$ لتجميع الأُسس.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 1620 \cdot 38263752 x^{1 + 2} + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.52.3

أضف $1$ و $2$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 1620 \cdot 38263752 x^{3} + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.53

اضرب $1620$ في $38263752$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 1620 x^{2} \cdot 43046721 - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.54

اضرب $43046721$ في $1620$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{3} x^{8} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.55

اضرب $x^{3}$ في $x^{8}$ بجمع الأُسس.

انقر لعرض المزيد من الخطوات...

خطوة 1.7.1.55.1

انقُل $x^{8}$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 (x^{8} x^{3}) - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.55.2

استخدِم قاعدة القوة $a^{m} a^{n} = a^{m + n}$ لتجميع الأُسس.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{8 + 3} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.55.3

أضف $8$ و $3$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 108 x^{3} (72 x^{7}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.56

أعِد الكتابة باستخدام خاصية الإبدال لعملية الضرب.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 108 \cdot 72 x^{3} x^{7} - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.57

اضرب $x^{3}$ في $x^{7}$ بجمع الأُسس.

انقر لعرض المزيد من الخطوات...

خطوة 1.7.1.57.1

انقُل $x^{7}$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 108 \cdot 72 (x^{7} x^{3}) - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.57.2

استخدِم قاعدة القوة $a^{m} a^{n} = a^{m + n}$ لتجميع الأُسس.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 108 \cdot 72 x^{7 + 3} - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.57.3

أضف $7$ و $3$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 108 \cdot 72 x^{10} - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.58

اضرب $- 108$ في $72$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 108 x^{3} (2268 x^{6}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.59

أعِد الكتابة باستخدام خاصية الإبدال لعملية الضرب.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 108 \cdot 2268 x^{3} x^{6} - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.60

اضرب $x^{3}$ في $x^{6}$ بجمع الأُسس.

انقر لعرض المزيد من الخطوات...

خطوة 1.7.1.60.1

انقُل $x^{6}$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 108 \cdot 2268 (x^{6} x^{3}) - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.60.2

استخدِم قاعدة القوة $a^{m} a^{n} = a^{m + n}$ لتجميع الأُسس.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 108 \cdot 2268 x^{6 + 3} - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.60.3

أضف $6$ و $3$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 108 \cdot 2268 x^{9} - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.61

اضرب $- 108$ في $2268$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 108 x^{3} (40824 x^{5}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.62

أعِد الكتابة باستخدام خاصية الإبدال لعملية الضرب.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 108 \cdot 40824 x^{3} x^{5} - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.63

اضرب $x^{3}$ في $x^{5}$ بجمع الأُسس.

انقر لعرض المزيد من الخطوات...

خطوة 1.7.1.63.1

انقُل $x^{5}$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 108 \cdot 40824 (x^{5} x^{3}) - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.63.2

استخدِم قاعدة القوة $a^{m} a^{n} = a^{m + n}$ لتجميع الأُسس.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 108 \cdot 40824 x^{5 + 3} - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.63.3

أضف $5$ و $3$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 108 \cdot 40824 x^{8} - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.64

اضرب $- 108$ في $40824$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4408992 x^{8} - 108 x^{3} (459270 x^{4}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.65

أعِد الكتابة باستخدام خاصية الإبدال لعملية الضرب.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4408992 x^{8} - 108 \cdot 459270 x^{3} x^{4} - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.66

اضرب $x^{3}$ في $x^{4}$ بجمع الأُسس.

انقر لعرض المزيد من الخطوات...

خطوة 1.7.1.66.1

انقُل $x^{4}$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4408992 x^{8} - 108 \cdot 459270 (x^{4} x^{3}) - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.66.2

استخدِم قاعدة القوة $a^{m} a^{n} = a^{m + n}$ لتجميع الأُسس.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4408992 x^{8} - 108 \cdot 459270 x^{4 + 3} - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.66.3

أضف $4$ و $3$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4408992 x^{8} - 108 \cdot 459270 x^{7} - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.67

اضرب $- 108$ في $459270$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4408992 x^{8} - 49601160 x^{7} - 108 x^{3} (3306744 x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.68

أعِد الكتابة باستخدام خاصية الإبدال لعملية الضرب.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4408992 x^{8} - 49601160 x^{7} - 108 \cdot 3306744 x^{3} x^{3} - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.69

اضرب $x^{3}$ في $x^{3}$ بجمع الأُسس.

انقر لعرض المزيد من الخطوات...

خطوة 1.7.1.69.1

انقُل $x^{3}$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4408992 x^{8} - 49601160 x^{7} - 108 \cdot 3306744 (x^{3} x^{3}) - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.69.2

استخدِم قاعدة القوة $a^{m} a^{n} = a^{m + n}$ لتجميع الأُسس.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4408992 x^{8} - 49601160 x^{7} - 108 \cdot 3306744 x^{3 + 3} - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.69.3

أضف $3$ و $3$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4408992 x^{8} - 49601160 x^{7} - 108 \cdot 3306744 x^{6} - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.70

اضرب $- 108$ في $3306744$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4408992 x^{8} - 49601160 x^{7} - 357128352 x^{6} - 108 x^{3} (14880348 x^{2}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.71

أعِد الكتابة باستخدام خاصية الإبدال لعملية الضرب.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4408992 x^{8} - 49601160 x^{7} - 357128352 x^{6} - 108 \cdot 14880348 x^{3} x^{2} - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.72

اضرب $x^{3}$ في $x^{2}$ بجمع الأُسس.

انقر لعرض المزيد من الخطوات...

خطوة 1.7.1.72.1

انقُل $x^{2}$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4408992 x^{8} - 49601160 x^{7} - 357128352 x^{6} - 108 \cdot 14880348 (x^{2} x^{3}) - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.72.2

استخدِم قاعدة القوة $a^{m} a^{n} = a^{m + n}$ لتجميع الأُسس.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4408992 x^{8} - 49601160 x^{7} - 357128352 x^{6} - 108 \cdot 14880348 x^{2 + 3} - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.72.3

أضف $2$ و $3$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4408992 x^{8} - 49601160 x^{7} - 357128352 x^{6} - 108 \cdot 14880348 x^{5} - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.73

اضرب $- 108$ في $14880348$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4408992 x^{8} - 49601160 x^{7} - 357128352 x^{6} - 1607077584 x^{5} - 108 x^{3} (38263752 x) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.74

أعِد الكتابة باستخدام خاصية الإبدال لعملية الضرب.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4408992 x^{8} - 49601160 x^{7} - 357128352 x^{6} - 1607077584 x^{5} - 108 \cdot 38263752 x^{3} x - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.75

اضرب $x^{3}$ في $x$ بجمع الأُسس.

انقر لعرض المزيد من الخطوات...

خطوة 1.7.1.75.1

انقُل $x$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4408992 x^{8} - 49601160 x^{7} - 357128352 x^{6} - 1607077584 x^{5} - 108 \cdot 38263752 (x \cdot x^{3}) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.75.2

اضرب $x$ في $x^{3}$ .

انقر لعرض المزيد من الخطوات...

خطوة 1.7.1.75.2.1

ارفع $x$ إلى القوة $1$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4408992 x^{8} - 49601160 x^{7} - 357128352 x^{6} - 1607077584 x^{5} - 108 \cdot 38263752 (x^{1} x^{3}) - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.75.2.2

استخدِم قاعدة القوة $a^{m} a^{n} = a^{m + n}$ لتجميع الأُسس.

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4408992 x^{8} - 49601160 x^{7} - 357128352 x^{6} - 1607077584 x^{5} - 108 \cdot 38263752 x^{1 + 3} - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.75.3

أضف $1$ و $3$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4408992 x^{8} - 49601160 x^{7} - 357128352 x^{6} - 1607077584 x^{5} - 108 \cdot 38263752 x^{4} - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.76

اضرب $- 108$ في $38263752$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4408992 x^{8} - 49601160 x^{7} - 357128352 x^{6} - 1607077584 x^{5} - 4132485216 x^{4} - 108 x^{3} \cdot 43046721$

خطوة 1.7.1.77

اضرب $43046721$ في $- 108$ .

$13500 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 583200 x^{8} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4408992 x^{8} - 49601160 x^{7} - 357128352 x^{6} - 1607077584 x^{5} - 4132485216 x^{4} - 4649045868 x^{3}$

خطوة 1.7.2

بسّط بجمع الحدود.

انقر لعرض المزيد من الخطوات...

خطوة 1.7.2.1

اطرح $583200 x^{8}$ من $13500 x^{8}$ .

$- 569700 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 3674160 x^{8} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4408992 x^{8} - 49601160 x^{7} - 357128352 x^{6} - 1607077584 x^{5} - 4132485216 x^{4} - 4649045868 x^{3}$

خطوة 1.7.2.2

أضف $- 569700 x^{8}$ و $3674160 x^{8}$ .

$3104460 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4408992 x^{8} - 49601160 x^{7} - 357128352 x^{6} - 1607077584 x^{5} - 4132485216 x^{4} - 4649045868 x^{3}$

خطوة 1.7.2.3

اطرح $4408992 x^{8}$ من $3104460 x^{8}$ .

$- 1304532 x^{8} + 972000 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 18370800 x^{7} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 49601160 x^{7} - 357128352 x^{6} - 1607077584 x^{5} - 4132485216 x^{4} - 4649045868 x^{3}$

خطوة 1.7.2.4

اطرح $18370800 x^{7}$ من $972000 x^{7}$ .

$- 1304532 x^{8} - 17398800 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 66134880 x^{7} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 49601160 x^{7} - 357128352 x^{6} - 1607077584 x^{5} - 4132485216 x^{4} - 4649045868 x^{3}$

خطوة 1.7.2.5

أضف $- 17398800 x^{7}$ و $66134880 x^{7}$ .

$- 1304532 x^{8} + 48736080 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 49601160 x^{7} - 357128352 x^{6} - 1607077584 x^{5} - 4132485216 x^{4} - 4649045868 x^{3}$

خطوة 1.7.2.6

اطرح $49601160 x^{7}$ من $48736080 x^{7}$ .

$- 1304532 x^{8} - 865080 x^{7} + 30618000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 330674400 x^{6} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 357128352 x^{6} - 1607077584 x^{5} - 4132485216 x^{4} - 4649045868 x^{3}$

خطوة 1.7.2.7

اطرح $330674400 x^{6}$ من $30618000 x^{6}$ .

$- 1304532 x^{8} - 865080 x^{7} - 300056400 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 744017400 x^{6} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 357128352 x^{6} - 1607077584 x^{5} - 4132485216 x^{4} - 4649045868 x^{3}$

خطوة 1.7.2.8

أضف $- 300056400 x^{6}$ و $744017400 x^{6}$ .

$- 1304532 x^{8} - 865080 x^{7} + 443961000 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 357128352 x^{6} - 1607077584 x^{5} - 4132485216 x^{4} - 4649045868 x^{3}$

خطوة 1.7.2.9

اطرح $357128352 x^{6}$ من $443961000 x^{6}$ .

$- 1304532 x^{8} - 865080 x^{7} + 86832648 x^{6} + 551124000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 3720087000 x^{5} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 1607077584 x^{5} - 4132485216 x^{4} - 4649045868 x^{3}$

خطوة 1.7.2.10

اطرح $3720087000 x^{5}$ من $551124000 x^{5}$ .

$- 1304532 x^{8} - 865080 x^{7} + 86832648 x^{6} - 3168963000 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 5356925280 x^{5} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 1607077584 x^{5} - 4132485216 x^{4} - 4649045868 x^{3}$

خطوة 1.7.2.11

أضف $- 3168963000 x^{5}$ و $5356925280 x^{5}$ .

$- 1304532 x^{8} - 865080 x^{7} + 86832648 x^{6} + 2187962280 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 1607077584 x^{5} - 4132485216 x^{4} - 4649045868 x^{3}$

خطوة 1.7.2.12

اطرح $1607077584 x^{5}$ من $2187962280 x^{5}$ .

$- 1304532 x^{8} - 865080 x^{7} + 86832648 x^{6} + 580884696 x^{5} + 6200145000 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 26784626400 x^{4} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4132485216 x^{4} - 4649045868 x^{3}$

خطوة 1.7.2.13

اطرح $26784626400 x^{4}$ من $6200145000 x^{4}$ .

$- 1304532 x^{8} - 865080 x^{7} + 86832648 x^{6} + 580884696 x^{5} - 20584481400 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 24106163760 x^{4} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4132485216 x^{4} - 4649045868 x^{3}$

خطوة 1.7.2.14

أضف $- 20584481400 x^{4}$ و $24106163760 x^{4}$ .

$- 1304532 x^{8} - 865080 x^{7} + 86832648 x^{6} + 580884696 x^{5} + 3521682360 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4132485216 x^{4} - 4649045868 x^{3}$

خطوة 1.7.2.15

اطرح $4132485216 x^{4}$ من $3521682360 x^{4}$ .

$- 1304532 x^{8} - 865080 x^{7} + 86832648 x^{6} + 580884696 x^{5} - 610802856 x^{4} + 44641044000 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 120530818800 x^{3} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4649045868 x^{3}$

خطوة 1.7.2.16

اطرح $120530818800 x^{3}$ من $44641044000 x^{3}$ .

$- 1304532 x^{8} - 865080 x^{7} + 86832648 x^{6} + 580884696 x^{5} - 610802856 x^{4} - 75889774800 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 61987278240 x^{3} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4649045868 x^{3}$

خطوة 1.7.2.17

أضف $- 75889774800 x^{3}$ و $61987278240 x^{3}$ .

$- 1304532 x^{8} - 865080 x^{7} + 86832648 x^{6} + 580884696 x^{5} - 610802856 x^{4} - 13902496560 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9} - 4649045868 x^{3}$

خطوة 1.7.2.18

اطرح $4649045868 x^{3}$ من $- 13902496560 x^{3}$ .

$- 1304532 x^{8} - 865080 x^{7} + 86832648 x^{6} + 580884696 x^{5} - 610802856 x^{4} - 18551542428 x^{3} + 200884698000 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 309936391200 x^{2} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9}$

خطوة 1.7.2.19

اطرح $309936391200 x^{2}$ من $200884698000 x^{2}$ .

$- 1304532 x^{8} - 865080 x^{7} + 86832648 x^{6} + 580884696 x^{5} - 610802856 x^{4} - 18551542428 x^{3} - 109051693200 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 348678440100 x + 1620 x^{10} + 116640 x^{9} + 69735688020 x^{2} - 108 x^{11} - 7776 x^{10} - 244944 x^{9}$

خطوة 1.7.2.20

أضف $- 109051693200 x^{2}$ و $69735688020 x^{2}$ .

$- 1304532 x^{8} - 865080 x^{7} + 86832648 x^{6} + 580884696 x^{5} - 610802856 x^{4} - 18551542428 x^{3} - 39316005180 x^{2} + 516560652000 x + 581130733500 - 8100 x^{9} - 348678440100 x + 1620 x^{10} + 116640 x^{9} - 108 x^{11} - 7776 x^{10} - 244944 x^{9}$

خطوة 1.7.2.21

اطرح $348678440100 x$ من $516560652000 x$ .

$- 1304532 x^{8} - 865080 x^{7} + 86832648 x^{6} + 580884696 x^{5} - 610802856 x^{4} - 18551542428 x^{3} - 39316005180 x^{2} + 167882211900 x + 581130733500 - 8100 x^{9} + 1620 x^{10} + 116640 x^{9} - 108 x^{11} - 7776 x^{10} - 244944 x^{9}$

خطوة 1.7.2.22

أضف $- 8100 x^{9}$ و $116640 x^{9}$ .

$- 1304532 x^{8} - 865080 x^{7} + 86832648 x^{6} + 580884696 x^{5} - 610802856 x^{4} - 18551542428 x^{3} - 39316005180 x^{2} + 167882211900 x + 581130733500 + 1620 x^{10} + 108540 x^{9} - 108 x^{11} - 7776 x^{10} - 244944 x^{9}$

خطوة 1.7.2.23

اطرح $7776 x^{10}$ من $1620 x^{10}$ .

$- 1304532 x^{8} - 865080 x^{7} + 86832648 x^{6} + 580884696 x^{5} - 610802856 x^{4} - 18551542428 x^{3} - 39316005180 x^{2} + 167882211900 x + 581130733500 - 6156 x^{10} + 108540 x^{9} - 108 x^{11} - 244944 x^{9}$

خطوة 1.7.2.24

اطرح $244944 x^{9}$ من $108540 x^{9}$ .

$- 1304532 x^{8} - 865080 x^{7} + 86832648 x^{6} + 580884696 x^{5} - 610802856 x^{4} - 18551542428 x^{3} - 39316005180 x^{2} + 167882211900 x + 581130733500 - 6156 x^{10} - 108 x^{11} - 136404 x^{9}$

خطوة 1.7.2.25

بسّط العبارة.

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خطوة 1.7.2.25.1

انقُل $581130733500$ .

$- 1304532 x^{8} - 865080 x^{7} + 86832648 x^{6} + 580884696 x^{5} - 610802856 x^{4} - 18551542428 x^{3} - 39316005180 x^{2} + 167882211900 x - 6156 x^{10} - 108 x^{11} - 136404 x^{9} + 581130733500$

خطوة 1.7.2.25.2

انقُل $167882211900 x$ .

$- 1304532 x^{8} - 865080 x^{7} + 86832648 x^{6} + 580884696 x^{5} - 610802856 x^{4} - 18551542428 x^{3} - 39316005180 x^{2} - 6156 x^{10} - 108 x^{11} - 136404 x^{9} + 167882211900 x + 581130733500$

خطوة 1.7.2.25.3

انقُل $- 39316005180 x^{2}$ .

$- 1304532 x^{8} - 865080 x^{7} + 86832648 x^{6} + 580884696 x^{5} - 610802856 x^{4} - 18551542428 x^{3} - 6156 x^{10} - 108 x^{11} - 136404 x^{9} - 39316005180 x^{2} + 167882211900 x + 581130733500$

خطوة 1.7.2.25.4

انقُل $- 18551542428 x^{3}$ .

$- 1304532 x^{8} - 865080 x^{7} + 86832648 x^{6} + 580884696 x^{5} - 610802856 x^{4} - 6156 x^{10} - 108 x^{11} - 136404 x^{9} - 18551542428 x^{3} - 39316005180 x^{2} + 167882211900 x + 581130733500$

خطوة 1.7.2.25.5

انقُل $- 610802856 x^{4}$ .

$- 1304532 x^{8} - 865080 x^{7} + 86832648 x^{6} + 580884696 x^{5} - 6156 x^{10} - 108 x^{11} - 136404 x^{9} - 610802856 x^{4} - 18551542428 x^{3} - 39316005180 x^{2} + 167882211900 x + 581130733500$

خطوة 1.7.2.25.6

انقُل $580884696 x^{5}$ .

$- 1304532 x^{8} - 865080 x^{7} + 86832648 x^{6} - 6156 x^{10} - 108 x^{11} - 136404 x^{9} + 580884696 x^{5} - 610802856 x^{4} - 18551542428 x^{3} - 39316005180 x^{2} + 167882211900 x + 581130733500$

خطوة 1.7.2.25.7

انقُل $86832648 x^{6}$ .

$- 1304532 x^{8} - 865080 x^{7} - 6156 x^{10} - 108 x^{11} - 136404 x^{9} + 86832648 x^{6} + 580884696 x^{5} - 610802856 x^{4} - 18551542428 x^{3} - 39316005180 x^{2} + 167882211900 x + 581130733500$

خطوة 1.7.2.25.8

انقُل $- 865080 x^{7}$ .

$- 1304532 x^{8} - 6156 x^{10} - 108 x^{11} - 136404 x^{9} - 865080 x^{7} + 86832648 x^{6} + 580884696 x^{5} - 610802856 x^{4} - 18551542428 x^{3} - 39316005180 x^{2} + 167882211900 x + 581130733500$

خطوة 1.7.2.25.9

انقُل $- 1304532 x^{8}$ .

$- 6156 x^{10} - 108 x^{11} - 136404 x^{9} - 1304532 x^{8} - 865080 x^{7} + 86832648 x^{6} + 580884696 x^{5} - 610802856 x^{4} - 18551542428 x^{3} - 39316005180 x^{2} + 167882211900 x + 581130733500$

خطوة 1.7.2.25.10

أعِد ترتيب $- 6156 x^{10}$ و $- 108 x^{11}$ .

$- 108 x^{11} - 6156 x^{10} - 136404 x^{9} - 1304532 x^{8} - 865080 x^{7} + 86832648 x^{6} + 580884696 x^{5} - 610802856 x^{4} - 18551542428 x^{3} - 39316005180 x^{2} + 167882211900 x + 581130733500$

خطوة 2

درجة متعدد الحدود هي أعلى درجة لحدوده.

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خطوة 2.1

حدد أُسس المتغيرات في كل حد، واجمعها معًا لإيجاد درجة كل حد.

$- 108 x^{11} \to 11$

$- 6156 x^{10} \to 10$

$- 136404 x^{9} \to 9$

$- 1304532 x^{8} \to 8$

$- 865080 x^{7} \to 7$

$86832648 x^{6} \to 6$

$580884696 x^{5} \to 5$

$- 610802856 x^{4} \to 4$

$- 18551542428 x^{3} \to 3$

$- 39316005180 x^{2} \to 2$

$167882211900 x \to 1$

$581130733500 \to 0$

خطوة 2.2

الأُس الأكبر هو درجة متعدد الحدود.

$11$

خطوة 3

الحد الرئيسي في متعدد الحدود هو الحد ذو الدرجة الأعلى.

$- 108 x^{11}$

خطوة 4

المعامل الرئيسي لمتعدد الحدود هو معامل الحد الرئيسي.

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خطوة 4.1

الحد الرئيسي في متعدد الحدود هو الحد ذو الدرجة الأعلى.

$- 108 x^{11}$

خطوة 4.2

المعامل الرئيسي في متعدد الحدود هو معامل الحد الرئيسي.

$- 108$

خطوة 5

اسرِد النتائج.

درجة متعدد الحدود: $11$

الحد الرئيسي: $- 108 x^{11}$

المعامل الرئيسي: $- 108$