What is (x^2+6x+8)/(x^2+7x+12) ?

The solution to (x^2+6x+8)/(x^2+7x+12) is (x+2)/(x+3)

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simplify (x^2+6x+8)/(x^2+7x+12)

simplify

\frac{x ^{2} + 6 x + 8}{x ^{2} + 7 x + 12}

\frac{x + 2}{x + 3}

Solution steps

\frac{x ^{2} + 6 x + 8}{x ^{2} + 7 x + 12}

Factor

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

= \frac{( x + 2 ) ( x + 4 )}{x ^{2} + 7 x + 12}

Factor

x^{2} + 7 x + 12 : (x + 3) (x + 4)

= \frac{( x + 2 ) ( x + 4 )}{( x + 3 ) ( x + 4 )}

Cancel the common factor:

x + 4

= \frac{x + 2}{x + 3}

(x^{4} + x^{2}) (x^{6} - 3 x^{3})

(7 x)^{0}

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

(3)^{\frac{2}{3}}

(y - 1) (y + 1)

What is (x^2+6x+8)/(x^2+7x+12) ?
The solution to (x^2+6x+8)/(x^2+7x+12) is (x+2)/(x+3)