Simplify (-12x^4)/(x^4+8x^5)

$\frac{- 12 x^{4}}{x^{4} + 8 x^{5}}$

Step 1

Factor $x^{4}$ out of $x^{4} + 8 x^{5}$ .

Multiply by $1$ .

$\frac{- 12 x^{4}}{x^{4} \cdot 1 + 8 x^{5}}$

Factor $x^{4}$ out of $8 x^{5}$ .

$\frac{- 12 x^{4}}{x^{4} \cdot 1 + x^{4} (8 x)}$

Factor $x^{4}$ out of $x^{4} \cdot 1 + x^{4} (8 x)$ .

$\frac{- 12 x^{4}}{x^{4} (1 + 8 x)}$

Step 2

Cancel the common factor of $x^{4}$ .

Cancel the common factor.

$\frac{- 12 x^{4}}{x^{4} (1 + 8 x)}$

Rewrite the expression.

$\frac{- 12}{1 + 8 x}$

Step 3

Move the negative in front of the fraction.

$- \frac{12}{1 + 8 x}$