What is (15x^2y-45xy)/(15y-5xy) ?

The solution to (15x^2y-45xy)/(15y-5xy) is -3x

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simplify (15x^2y-45xy)/(15y-5xy)

simplify

\frac{15 x ^{2} y - 45 x y}{15 y - 5 x y}

- 3 x

Solution steps

\frac{15 x ^{2} y - 45 x y}{15 y - 5 x y}

Factor

15 x^{2} y - 45 x y : 15 x y (x - 3)

= \frac{15 x y ( x - 3 )}{15 y - 5 x y}

Factor

15 y - 5 x y : 5 y (3 - x)

= \frac{15 x y ( x - 3 )}{5 y ( 3 - x )}

Cancel the common factor:

y

= \frac{15 x ( x - 3 )}{5 ( 3 - x )}

Factor the number:

15 = 5 \cdot 3

= \frac{5 \cdot 3 x ( x - 3 )}{5 ( 3 - x )}

Cancel the common factor:

5

= \frac{3 x ( x - 3 )}{3 - x}

3 - x = - (x - 3)

= \frac{3 x ( x - 3 )}{- ( x - 3 )}

Cancel the common factor:

x - 3

= \frac{3 x}{- 1}

Apply the fraction rule:

\frac{a}{- 1} = - a

= - 3 x

(- \frac{1}{3})^{4}

6 x^{2} = - 12 x - 2

(\frac{1}{x})^{6}

9.8 \cdot 3

\frac{1}{2} e^{- \frac{8}{2}}

What is (15x^2y-45xy)/(15y-5xy) ?
The solution to (15x^2y-45xy)/(15y-5xy) is -3x