What is (x^2-16)/(x^2+8x+16) ?

The solution to (x^2-16)/(x^2+8x+16) is (x-4)/(x+4)

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simplify (x^2-16)/(x^2+8x+16)

simplify

\frac{x ^{2} - 16}{x ^{2} + 8 x + 16}

\frac{x - 4}{x + 4}

Solution steps

\frac{x ^{2} - 16}{x ^{2} + 8 x + 16}

Factor

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

= \frac{( x + 4 ) ( x - 4 )}{x ^{2} + 8 x + 16}

Factor

x^{2} + 8 x + 16 : (x + 4)^{2}

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

Apply exponent rule:

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

(x + 4)^{2} = (x + 4) (x + 4)

= \frac{( x + 4 ) ( x - 4 )}{( x + 4 ) ( x + 4 )}

Cancel the common factor:

x + 4

= \frac{x - 4}{x + 4}

5 x + 3 x

\frac{( x ^{3} - 1 )}{( x - 1 )}

π \cdot 5^{2}

\frac{2 5 x}{5 x}

(2 x - x^{2})^{2}

What is (x^2-16)/(x^2+8x+16) ?
The solution to (x^2-16)/(x^2+8x+16) is (x-4)/(x+4)