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}

\frac{25}{24} - \frac{7}{24}

\frac{a}{2} + \frac{a}{2}

\frac{50}{250}

\frac{10 ( c ^{2} d ^{- 8} ) ^{3}}{2 c ^{- 1} d ^{4}}

\frac{8 a + 4 b}{b c + 2 a c}

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