What is (xy^3-9xy)/(12xy^2+12xy-144x) ?

The solution to (xy^3-9xy)/(12xy^2+12xy-144x) is (y(y+3))/(12(y+4))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (xy^3-9xy)/(12xy^2+12xy-144x)

simplify

\frac{x y ^{3} - 9 x y}{12 x y ^{2} + 12 x y - 144 x}

\frac{y ( y + 3 )}{12 ( y + 4 )}

Solution steps

\frac{x y ^{3} - 9 x y}{12 x y ^{2} + 12 x y - 144 x}

Factor

x y^{3} - 9 x y : x y (y + 3) (y - 3)

= \frac{x y ( y + 3 ) ( y - 3 )}{12 x y ^{2} + 12 x y - 144 x}

Factor

12 x y^{2} + 12 x y - 144 x : 12 x (y - 3) (y + 4)

= \frac{x y ( y + 3 ) ( y - 3 )}{12 x ( y - 3 ) ( y + 4 )}

Cancel the common factor:

x

= \frac{y ( y + 3 ) ( y - 3 )}{12 ( y - 3 ) ( y + 4 )}

Cancel the common factor:

y - 3

= \frac{y ( y + 3 )}{12 ( y + 4 )}

\frac{4 x y}{2 x}

9 v^{2} + 6 v + 1

4 x^{2} + 10 = 11 x

a^{5}

12 x + 7 (x + 3) > 10 x - 60

What is (xy^3-9xy)/(12xy^2+12xy-144x) ?
The solution to (xy^3-9xy)/(12xy^2+12xy-144x) is (y(y+3))/(12(y+4))