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))

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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 )}

∣ x - 1 ∣ = 2 ∣ x - 4 ∣

4 x^{2} + 2 x + 3 = 0

\frac{3}{4} x^{2} - \frac{2}{5} x = \frac{4}{5} x^{2} + \frac{3}{4}

8 x + 18 = 50

2 {3 z - (4 z + 3)} = 3 z + 4

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))