What is (x^2+16x+64)/(x^2-2x-80) ?

The solution to (x^2+16x+64)/(x^2-2x-80) is (x+8)/(x-10)

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simplify (x^2+16x+64)/(x^2-2x-80)

simplify

\frac{x ^{2} + 16 x + 64}{x ^{2} - 2 x - 80}

\frac{x + 8}{x - 10}

Solution steps

\frac{x ^{2} + 16 x + 64}{x ^{2} - 2 x - 80}

Factor

x^{2} + 16 x + 64 : (x + 8)^{2}

= \frac{( x + 8 ) ^{2}}{x ^{2} - 2 x - 80}

Factor

x^{2} - 2 x - 80 : (x + 8) (x - 10)

= \frac{( x + 8 ) ^{2}}{( x + 8 ) ( x - 10 )}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(x + 8)^{2} = (x + 8) (x + 8)

= \frac{( x + 8 ) ( x + 8 )}{( x + 8 ) ( x - 10 )}

Cancel the common factor:

x + 8

= \frac{x + 8}{x - 10}

\frac{x + 1}{x - 6} - \frac{x - 3}{x}

(x + h)^{7}

0^{9}

- 2 x^{2} - 4 x - 2 x^{2} - 2 x - 5

\frac{4 x ^{2}}{12 x ^{2} - 4}

What is (x^2+16x+64)/(x^2-2x-80) ?
The solution to (x^2+16x+64)/(x^2-2x-80) is (x+8)/(x-10)