What is (x^3+4x^2-12x)/(x^2+x-30) ?

The solution to (x^3+4x^2-12x)/(x^2+x-30) is (x(x-2))/(x-5)

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simplify (x^3+4x^2-12x)/(x^2+x-30)

simplify

\frac{x ^{3} + 4 x ^{2} - 12 x}{x ^{2} + x - 30}

\frac{x ( x - 2 )}{x - 5}

Solution steps

\frac{x ^{3} + 4 x ^{2} - 12 x}{x ^{2} + x - 30}

Factor

x^{3} + 4 x^{2} - 12 x : x (x - 2) (x + 6)

= \frac{x ( x - 2 ) ( x + 6 )}{x ^{2} + x - 30}

Factor

x^{2} + x - 30 : (x - 5) (x + 6)

= \frac{x ( x - 2 ) ( x + 6 )}{( x - 5 ) ( x + 6 )}

Cancel the common factor:

x + 6

= \frac{x ( x - 2 )}{x - 5}

(1 - r^{2})^{2}

x^{2} - x + 2 x - 2

72.25

\frac{57}{95}

- 3 y + 3 y

What is (x^3+4x^2-12x)/(x^2+x-30) ?
The solution to (x^3+4x^2-12x)/(x^2+x-30) is (x(x-2))/(x-5)