What is (x^3-64)/(x^2-16) ?

The solution to (x^3-64)/(x^2-16) is (x^2+4x+16)/(x+4)

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simplify (x^3-64)/(x^2-16)

simplify

\frac{x ^{3} - 64}{x ^{2} - 16}

\frac{x ^{2} + 4 x + 16}{x + 4}

Solution steps

\frac{x ^{3} - 64}{x ^{2} - 16}

Factor

x^{3} - 64 : (x - 4) (x^{2} + 4 x + 16)

= \frac{( x - 4 ) ( x ^{2} + 4 x + 16 )}{x ^{2} - 16}

Factor

x^{2} - 16 : (x + 4) (x - 4)

= \frac{( x - 4 ) ( x ^{2} + 4 x + 16 )}{( x + 4 ) ( x - 4 )}

Cancel the common factor:

x - 4

= \frac{x ^{2} + 4 x + 16}{x + 4}

- 82 - 598

3 a + 6 b - 4 - 8 b + 2 a - 9

2^{0.1}

(9 - \frac{1}{2} x^{2})^{2}

\frac{a ^{3}}{a ^{- 2}}

What is (x^3-64)/(x^2-16) ?
The solution to (x^3-64)/(x^2-16) is (x^2+4x+16)/(x+4)