What is (x^3+8x^2)/(x^2-64) ?

The solution to (x^3+8x^2)/(x^2-64) is (x^2)/(x-8)

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simplify (x^3+8x^2)/(x^2-64)

simplify

\frac{x ^{3} + 8 x ^{2}}{x ^{2} - 64}

\frac{x ^{2}}{x - 8}

Solution steps

\frac{x ^{3} + 8 x ^{2}}{x ^{2} - 64}

Factor

x^{3} + 8 x^{2} : x^{2} (x + 8)

= \frac{x ^{2} ( x + 8 )}{x ^{2} - 64}

Factor

x^{2} - 64 : (x + 8) (x - 8)

= \frac{x ^{2} ( x + 8 )}{( x + 8 ) ( x - 8 )}

Cancel the common factor:

x + 8

= \frac{x ^{2}}{x - 8}

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

f (x) \cdot g (x)

(x - 1) (x - 4) (x + 3)

(2 p + q)^{2}

(x - 1) (x - 3) (x - 4)

What is (x^3+8x^2)/(x^2-64) ?
The solution to (x^3+8x^2)/(x^2-64) is (x^2)/(x-8)