What is (x^2+16x+64)/(x^2+x-56) ?

The solution to (x^2+16x+64)/(x^2+x-56) is (x+8)/(x-7)

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simplify (x^2+16x+64)/(x^2+x-56)

simplify

\frac{x ^{2} + 16 x + 64}{x ^{2} + x - 56}

\frac{x + 8}{x - 7}

Solution steps

\frac{x ^{2} + 16 x + 64}{x ^{2} + x - 56}

Factor

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

= \frac{( x + 8 ) ^{2}}{x ^{2} + x - 56}

Factor

x^{2} + x - 56 : (x - 7) (x + 8)

= \frac{( x + 8 ) ^{2}}{( x - 7 ) ( x + 8 )}

Apply exponent rule:

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

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

= \frac{( x + 8 ) ( x + 8 )}{( x - 7 ) ( x + 8 )}

Cancel the common factor:

x + 8

= \frac{x + 8}{x - 7}

\frac{2}{3} + \frac{6}{9}

\frac{2}{3} + \frac{6}{5}

\frac{2}{44}

\frac{2}{70}

50 x^{8} y^{4}

What is (x^2+16x+64)/(x^2+x-56) ?
The solution to (x^2+16x+64)/(x^2+x-56) is (x+8)/(x-7)