What is (x^2-4)/(x^2+10x+16) ?

The solution to (x^2-4)/(x^2+10x+16) is (x-2)/(x+8)

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simplify (x^2-4)/(x^2+10x+16)

simplify

\frac{x ^{2} - 4}{x ^{2} + 10 x + 16}

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

Solution steps

\frac{x ^{2} - 4}{x ^{2} + 10 x + 16}

Factor

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

= \frac{( x + 2 ) ( x - 2 )}{x ^{2} + 10 x + 16}

Factor

x^{2} + 10 x + 16 : (x + 2) (x + 8)

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

Cancel the common factor:

x + 2

= \frac{x - 2}{x + 8}

3 x^{4} + 45 x^{3} + 42 x^{2}

1^{- 9}

2 x^{2} + 15 x + 28

(3 x + 8) (x - 8)

\frac{36}{61 117}

What is (x^2-4)/(x^2+10x+16) ?
The solution to (x^2-4)/(x^2+10x+16) is (x-2)/(x+8)