What is (x^2-16)/(x^2+6x+8) ?

The solution to (x^2-16)/(x^2+6x+8) is (x-4)/(x+2)

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simplify (x^2-16)/(x^2+6x+8)

simplify

\frac{x ^{2} - 16}{x ^{2} + 6 x + 8}

\frac{x - 4}{x + 2}

Solution steps

\frac{x ^{2} - 16}{x ^{2} + 6 x + 8}

Factor

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

= \frac{( x + 4 ) ( x - 4 )}{x ^{2} + 6 x + 8}

Factor

x^{2} + 6 x + 8 : (x + 2) (x + 4)

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

Cancel the common factor:

x + 4

= \frac{x - 4}{x + 2}

(x + 1) 3

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

6724

\frac{0. 3 ^{5} \cdot 0. 3 ^{7}}{0. 3 ^{9}}

- x (6 x - 7)

What is (x^2-16)/(x^2+6x+8) ?
The solution to (x^2-16)/(x^2+6x+8) is (x-4)/(x+2)