Algebra Examples

$- 48 a^{2} b^{2} - 56 a^{3} b - 56 a^{5} b$

Step 1

Reorder the expression.

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Step 1.1

Move $- 56 a^{3} b$ .

$- 48 a^{2} b^{2} - 56 a^{5} b - 56 a^{3} b$

Step 1.2

Reorder $- 48 a^{2} b^{2}$ and $- 56 a^{5} b$ .

$- 56 a^{5} b - 48 a^{2} b^{2} - 56 a^{3} b$

Step 2

Factor $- 8 a^{2} b$ out of $- 56 a^{5} b$ .

$- 8 a^{2} b (7 a^{3}) - 48 a^{2} b^{2} - 56 a^{3} b$

Step 3

Factor $- 8 a^{2} b$ out of $- 48 a^{2} b^{2}$ .

$- 8 a^{2} b (7 a^{3}) - 8 a^{2} b (6 b) - 56 a^{3} b$

Step 4

Factor $- 8 a^{2} b$ out of $- 56 a^{3} b$ .

$- 8 a^{2} b (7 a^{3}) - 8 a^{2} b (6 b) - 8 a^{2} b (7 a)$

Step 5

Factor $- 8 a^{2} b$ out of $- 8 a^{2} b (7 a^{3}) - 8 a^{2} b (6 b)$ .

$- 8 a^{2} b (7 a^{3} + 6 b) - 8 a^{2} b (7 a)$

Step 6

Factor $- 8 a^{2} b$ out of $- 8 a^{2} b (7 a^{3} + 6 b) - 8 a^{2} b (7 a)$ .

$- 8 a^{2} b (7 a^{3} + 6 b + 7 a)$