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

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

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

simplify

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

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

Solution steps

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

Factor

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

= \frac{( x + 8 ) ( x - 8 )}{x ^{2} + 16 x + 64}

Factor

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

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

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 + 8 )}

Cancel the common factor:

x + 8

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

16 \div 8

\frac{10}{1}

lo g_{10} (- 100)

\frac{2}{5} \cdot 90

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

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