Basic Math Examples

$35 a^{2} + 15 a b - 7 a b - 3 a b^{2}$

Step 1

Subtract $7 a b$ from $15 a b$ .

$35 a^{2} + 8 a b - 3 a b^{2}$

Step 2

Factor $- a$ out of $35 a^{2} + 8 a b - 3 a b^{2}$ .

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Step 2.1

Reorder the expression.

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Step 2.1.1

Move $8 a b$ .

$35 a^{2} - 3 a b^{2} + 8 a b$

Step 2.1.2

Reorder $35 a^{2}$ and $- 3 a b^{2}$ .

$- 3 a b^{2} + 35 a^{2} + 8 a b$

Step 2.2

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

$- a (3 b^{2}) + 35 a^{2} + 8 a b$

Step 2.3

Factor $- a$ out of $35 a^{2}$ .

$- a (3 b^{2}) - a (- 35 a) + 8 a b$

Step 2.4

Factor $- a$ out of $8 a b$ .

$- a (3 b^{2}) - a (- 35 a) - a (- 8 b)$

Step 2.5

Factor $- a$ out of $- a (3 b^{2}) - a (- 35 a)$ .

$- a (3 b^{2} - 35 a) - a (- 8 b)$

Step 2.6

Factor $- a$ out of $- a (3 b^{2} - 35 a) - a (- 8 b)$ .

$- a (3 b^{2} - 35 a - 8 b)$