Algebra Examples

$(5 - 2 x) (3) {(7 x - 8)}^{2} (7) + {(7 x - 8)}^{3} (- 2)$

Step 1

Multiply $5 - 2 x$ by $3$ .

$(5 - 2 x) \cdot 3 {(7 x - 8)}^{2} \cdot 7 + {(7 x - 8)}^{3} (- 2)$

Step 2

Multiply ${(7 x - 8)}^{3}$ by $- 2$ .

$(5 - 2 x) \cdot 3 {(7 x - 8)}^{2} \cdot 7 + {(7 x - 8)}^{3} \cdot - 2$

Step 3

Factor ${(7 x - 8)}^{2}$ out of $(5 - 2 x) \cdot 3 {(7 x - 8)}^{2} \cdot 7 + {(7 x - 8)}^{3} \cdot - 2$ .

Tap for more steps...

Step 3.1

Factor ${(7 x - 8)}^{2}$ out of $(5 - 2 x) \cdot 3 {(7 x - 8)}^{2} \cdot 7$ .

${(7 x - 8)}^{2} ((5 - 2 x) \cdot 3 \cdot 7) + {(7 x - 8)}^{3} \cdot - 2$

Step 3.2

Factor ${(7 x - 8)}^{2}$ out of ${(7 x - 8)}^{3} \cdot - 2$ .

${(7 x - 8)}^{2} ((5 - 2 x) \cdot 3 \cdot 7) + {(7 x - 8)}^{2} ((7 x - 8) \cdot - 2)$

Step 3.3

Factor ${(7 x - 8)}^{2}$ out of ${(7 x - 8)}^{2} ((5 - 2 x) \cdot 3 \cdot 7) + {(7 x - 8)}^{2} ((7 x - 8) \cdot - 2)$ .

${(7 x - 8)}^{2} ((5 - 2 x) \cdot 3 \cdot 7 + (7 x - 8) \cdot - 2)$

Step 4

Apply the distributive property.

${(7 x - 8)}^{2} ((5 \cdot 3 - 2 x \cdot 3) \cdot 7 + (7 x - 8) \cdot - 2)$

Step 5

Multiply $5$ by $3$ .

${(7 x - 8)}^{2} ((15 - 2 x \cdot 3) \cdot 7 + (7 x - 8) \cdot - 2)$

Step 6

Multiply $3$ by $- 2$ .

${(7 x - 8)}^{2} ((15 - 6 x) \cdot 7 + (7 x - 8) \cdot - 2)$

Step 7

Apply the distributive property.

${(7 x - 8)}^{2} (15 \cdot 7 - 6 x \cdot 7 + (7 x - 8) \cdot - 2)$

Step 8

Multiply $15$ by $7$ .

${(7 x - 8)}^{2} (105 - 6 x \cdot 7 + (7 x - 8) \cdot - 2)$

Step 9

Multiply $7$ by $- 6$ .

${(7 x - 8)}^{2} (105 - 42 x + (7 x - 8) \cdot - 2)$

Step 10

Apply the distributive property.

${(7 x - 8)}^{2} (105 - 42 x + 7 x \cdot - 2 - 8 \cdot - 2)$

Step 11

Multiply $- 2$ by $7$ .

${(7 x - 8)}^{2} (105 - 42 x - 14 x - 8 \cdot - 2)$

Step 12

Multiply $- 8$ by $- 2$ .

${(7 x - 8)}^{2} (105 - 42 x - 14 x + 16)$

Step 13

Add $105$ and $16$ .

${(7 x - 8)}^{2} (- 42 x - 14 x + 121)$

Step 14

Subtract $14 x$ from $- 42 x$ .

${(7 x - 8)}^{2} (- 56 x + 121)$

Step 15

Factor.

Tap for more steps...

Step 15.1

Factor $- 1$ out of $- 56 x + 121$ .

Tap for more steps...

Step 15.1.1

Factor $- 1$ out of $- 56 x$ .

${(7 x - 8)}^{2} (- (56 x) + 121)$

Step 15.1.2

Rewrite $121$ as $- 1 (- 121)$ .

${(7 x - 8)}^{2} (- (56 x) - 1 (- 121))$

Step 15.1.3

Factor $- 1$ out of $- (56 x) - 1 (- 121)$ .

${(7 x - 8)}^{2} (- (56 x - 121))$

Step 15.2

Remove unnecessary parentheses.

${(7 x - 8)}^{2} \cdot - 1 (56 x - 121)$

Step 16

Factor out negative.

$- ({(7 x - 8)}^{2} (56 x - 121))$

Step 17

Remove unnecessary parentheses.

$- {(7 x - 8)}^{2} (56 x - 121)$