What is (x^3+4x^2)/(x^2-5x-36) ?

The solution to (x^3+4x^2)/(x^2-5x-36) is (x^2)/(x-9)

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simplify (x^3+4x^2)/(x^2-5x-36)

simplify

\frac{x ^{3} + 4 x ^{2}}{x ^{2} - 5 x - 36}

\frac{x ^{2}}{x - 9}

Solution steps

\frac{x ^{3} + 4 x ^{2}}{x ^{2} - 5 x - 36}

Factor

x^{3} + 4 x^{2} : x^{2} (x + 4)

= \frac{x ^{2} ( x + 4 )}{x ^{2} - 5 x - 36}

Factor

x^{2} - 5 x - 36 : (x + 4) (x - 9)

= \frac{x ^{2} ( x + 4 )}{( x + 4 ) ( x - 9 )}

Cancel the common factor:

x + 4

= \frac{x ^{2}}{x - 9}

\frac{2}{3} \cdot \frac{7}{8}

\frac{x + 1}{2} + \frac{x + 3}{3}

(3 x + 5) (3 x + 9)

cos^{2} (x) + sin^{2} (x)

ln (2) + ln (1)

What is (x^3+4x^2)/(x^2-5x-36) ?
The solution to (x^3+4x^2)/(x^2-5x-36) is (x^2)/(x-9)