What is (6x^2y-12xy^2)/(x^2-4y^2) ?

The solution to (6x^2y-12xy^2)/(x^2-4y^2) is (6xy)/(x+2y)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (6x^2y-12xy^2)/(x^2-4y^2)

simplify

\frac{6 x ^{2} y - 12 x y ^{2}}{x ^{2} - 4 y ^{2}}

\frac{6 x y}{x + 2 y}

Solution steps

\frac{6 x ^{2} y - 12 x y ^{2}}{x ^{2} - 4 y ^{2}}

Factor

6 x^{2} y - 12 x y^{2} : 6 x y (x - 2 y)

= \frac{6 x y ( x - 2 y )}{x ^{2} - 4 y ^{2}}

Factor

x^{2} - 4 y^{2} : (x + 2 y) (x - 2 y)

= \frac{6 x y ( x - 2 y )}{( x + 2 y ) ( x - 2 y )}

Cancel the common factor:

x - 2 y

= \frac{6 x y}{x + 2 y}

(a^{- 1} b^{\frac{1}{3}} \cdot a^{- \frac{4}{3}} b^{2})^{2}

y^{3} \cdot y^{- 5}

46 = - 6 t - 8

\frac{2 - 2 x}{3 x - 6} \leq 1

- 2 < - 4 z + 2 \leq 14

What is (6x^2y-12xy^2)/(x^2-4y^2) ?
The solution to (6x^2y-12xy^2)/(x^2-4y^2) is (6xy)/(x+2y)