Simplify (8ab^2x)/(4a^2b-8ab^2)

$\frac{8 a b^{2} x}{4 a^{2} b - 8 a b^{2}}$

Step 1

Factor $4 a b$ out of $4 a^{2} b - 8 a b^{2}$ .

Factor $4 a b$ out of $4 a^{2} b$ .

$\frac{8 a b^{2} x}{4 a b (a) - 8 a b^{2}}$

Factor $4 a b$ out of $- 8 a b^{2}$ .

$\frac{8 a b^{2} x}{4 a b (a) + 4 a b (- 2 b)}$

Factor $4 a b$ out of $4 a b (a) + 4 a b (- 2 b)$ .

$\frac{8 a b^{2} x}{4 a b (a - 2 b)}$

$\frac{8 a b^{2} x}{4 a b (a - 2 b)}$

Step 2

Cancel the common factor of $8$ and $4$ .

Factor $4$ out of $8 a b^{2} x$ .

$\frac{4 (2 a b^{2} x)}{4 a b (a - 2 b)}$

Cancel the common factors.

Factor $4$ out of $4 a b (a - 2 b)$ .

$\frac{4 (2 a b^{2} x)}{4 (a b (a - 2 b))}$

Cancel the common factor.

$\frac{4 (2 a b^{2} x)}{4 (a b (a - 2 b))}$

Rewrite the expression.

$\frac{2 a b^{2} x}{a b (a - 2 b)}$

$\frac{2 a b^{2} x}{a b (a - 2 b)}$

$\frac{2 a b^{2} x}{a b (a - 2 b)}$

Step 3

Cancel the common factor of $a$ .

Cancel the common factor.

$\frac{2 a b^{2} x}{a b (a - 2 b)}$

Rewrite the expression.

$\frac{2 b^{2} x}{b (a - 2 b)}$

$\frac{2 b^{2} x}{b (a - 2 b)}$

Step 4

Cancel the common factor of $b^{2}$ and $b$ .

Factor $b$ out of $2 b^{2} x$ .

$\frac{b (2 b x)}{b (a - 2 b)}$

Cancel the common factors.

Cancel the common factor.

$\frac{b (2 b x)}{b (a - 2 b)}$

Rewrite the expression.

$\frac{2 b x}{a - 2 b}$

$\frac{2 b x}{a - 2 b}$

$\frac{2 b x}{a - 2 b}$

Related Questions