What is (x^2+7x+12)/(x^2+5x+6) ?

The solution to (x^2+7x+12)/(x^2+5x+6) is (x+4)/(x+2)

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simplify (x^2+7x+12)/(x^2+5x+6)

simplify

\frac{x ^{2} + 7 x + 12}{x ^{2} + 5 x + 6}

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

Solution steps

\frac{x ^{2} + 7 x + 12}{x ^{2} + 5 x + 6}

Factor

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

= \frac{( x + 3 ) ( x + 4 )}{x ^{2} + 5 x + 6}

Factor

x^{2} + 5 x + 6 : (x + 2) (x + 3)

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

Cancel the common factor:

x + 3

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

(3 x - 2) (3 x^{2} - 8 x + 3)

\frac{( 0.9 ) ^{15}}{( 0.9 ) ^{12}}

\frac{96}{16}

4 \times 16

18 \cdot 7

What is (x^2+7x+12)/(x^2+5x+6) ?
The solution to (x^2+7x+12)/(x^2+5x+6) is (x+4)/(x+2)