Basic Math Examples

$24 a^{2} + 18 a b - 15 a b^{2}$

Step 1

Reorder the expression.

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Step 1.1

Move $18 a b$ .

$24 a^{2} - 15 a b^{2} + 18 a b$

Step 1.2

Reorder $24 a^{2}$ and $- 15 a b^{2}$ .

$- 15 a b^{2} + 24 a^{2} + 18 a b$

Step 2

Factor $- 3 a$ out of $- 15 a b^{2}$ .

$- 3 a (5 b^{2}) + 24 a^{2} + 18 a b$

Step 3

Factor $- 3 a$ out of $24 a^{2}$ .

$- 3 a (5 b^{2}) - 3 a (- 8 a) + 18 a b$

Step 4

Factor $- 3 a$ out of $18 a b$ .

$- 3 a (5 b^{2}) - 3 a (- 8 a) - 3 a (- 6 b)$

Step 5

Factor $- 3 a$ out of $- 3 a (5 b^{2}) - 3 a (- 8 a)$ .

$- 3 a (5 b^{2} - 8 a) - 3 a (- 6 b)$

Step 6

Factor $- 3 a$ out of $- 3 a (5 b^{2} - 8 a) - 3 a (- 6 b)$ .

$- 3 a (5 b^{2} - 8 a - 6 b)$