What is (x^3+64)/(x+4)+(x^3-64)/(x-4) ?

The solution to (x^3+64)/(x+4)+(x^3-64)/(x-4) is 2x^2+32

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simplify (x^3+64)/(x+4)+(x^3-64)/(x-4)

simplify

\frac{x ^{3} + 64}{x + 4} + \frac{x ^{3} - 64}{x - 4}

2 x^{2} + 32

Solution steps

\frac{x ^{3} + 64}{x + 4} + \frac{x ^{3} - 64}{x - 4}

\frac{x ^{3} + 64}{x + 4} = x^{2} - 4 x + 16

\frac{x ^{3} - 64}{x - 4} = x^{2} + 4 x + 16

= x^{2} - 4 x + 16 + x^{2} + 4 x + 16

Group like terms

= x^{2} + x^{2} - 4 x + 4 x + 16 + 16

Add similar elements:

x^{2} + x^{2} = 2 x^{2}

= 2 x^{2} - 4 x + 4 x + 16 + 16

Add similar elements:

- 4 x + 4 x = 0

= 2 x^{2} + 16 + 16

Add the numbers:

16 + 16 = 32

= 2 x^{2} + 32

9 \div \frac{1}{5}

150 + 2 x

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

\frac{8}{6 + 2}

25 b^{3} - 35 b^{2} + 5 b - 7

What is (x^3+64)/(x+4)+(x^3-64)/(x-4) ?
The solution to (x^3+64)/(x+4)+(x^3-64)/(x-4) is 2x^2+32