Algebra Examples

$- x^{4} + 13 x^{5} + 6 x^{3} + (6 x^{3} + 5 x^{5} + 7 x^{4})$

Step 1

Remove parentheses.

$- x^{4} + 13 x^{5} + 6 x^{3} + 6 x^{3} + 5 x^{5} + 7 x^{4}$

Step 2

Add $- x^{4}$ and $7 x^{4}$ .

$6 x^{4} + 13 x^{5} + 6 x^{3} + 6 x^{3} + 5 x^{5}$

Step 3

Add $13 x^{5}$ and $5 x^{5}$ .

$6 x^{4} + 18 x^{5} + 6 x^{3} + 6 x^{3}$

Step 4

Add $6 x^{3}$ and $6 x^{3}$ .

$6 x^{4} + 18 x^{5} + 12 x^{3}$

Step 5

Factor $6 x^{3}$ out of $6 x^{4} + 18 x^{5} + 12 x^{3}$ .

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Step 5.1

Factor $6 x^{3}$ out of $6 x^{4}$ .

$6 x^{3} (x) + 18 x^{5} + 12 x^{3}$

Step 5.2

Factor $6 x^{3}$ out of $18 x^{5}$ .

$6 x^{3} (x) + 6 x^{3} (3 x^{2}) + 12 x^{3}$

Step 5.3

Factor $6 x^{3}$ out of $12 x^{3}$ .

$6 x^{3} (x) + 6 x^{3} (3 x^{2}) + 6 x^{3} (2)$

Step 5.4

Factor $6 x^{3}$ out of $6 x^{3} (x) + 6 x^{3} (3 x^{2})$ .

$6 x^{3} (x + 3 x^{2}) + 6 x^{3} (2)$

Step 5.5

Factor $6 x^{3}$ out of $6 x^{3} (x + 3 x^{2}) + 6 x^{3} (2)$ .

$6 x^{3} (x + 3 x^{2} + 2)$

Step 6

Reorder terms.

$6 x^{3} (3 x^{2} + x + 2)$