# How do you simplify (11x^2-22x^2)/(6x-12x^2)?

Jun 28, 2015

Factor $11 {x}^{2}$ out of the numerator, and $6 x$ out of the denominator. Divide ${x}^{2}$ by $x$. Simplify the results.

#### Explanation:

$\frac{11 {x}^{2} - 22 {x}^{2}}{6 x - 12 {x}^{2}}$ =

Factor out $11 {x}^{2}$ from the numerator, and $6 x$ from the denominator.

$\frac{11 {x}^{2} \left(1 - 2\right)}{6 x \left(1 - 2 x\right)}$ =

$\frac{11 {x}^{2} \left(- 1\right)}{6 x \left(1 - 2 x\right)}$

Simplify.

$\frac{- 11 {x}^{2}}{6 x \left(1 - 2 x\right)}$

Divide ${x}^{2}$ by $x$.

(-11xcancel(""^2))/(6cancelx(1-2x))

Simplify .

$\frac{- 11 x}{6 \left(1 - 2 x\right)}$ =

-(11x)/(6(1-2x)