What is (x^2+11x+18)/(x^2+6x+8) ?

The solution to (x^2+11x+18)/(x^2+6x+8) is (x+9)/(x+4)

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simplify (x^2+11x+18)/(x^2+6x+8)

simplify

\frac{x ^{2} + 11 x + 18}{x ^{2} + 6 x + 8}

\frac{x + 9}{x + 4}

Solution steps

\frac{x ^{2} + 11 x + 18}{x ^{2} + 6 x + 8}

Factor

x^{2} + 11 x + 18 : (x + 2) (x + 9)

= \frac{( x + 2 ) ( x + 9 )}{x ^{2} + 6 x + 8}

Factor

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

= \frac{( x + 2 ) ( x + 9 )}{( x + 2 ) ( x + 4 )}

Cancel the common factor:

x + 2

= \frac{x + 9}{x + 4}

lo g_{e} (8)

\frac{4 3}{4}

14 \div 7

\frac{p + 4}{p ^{2} + 6 p + 8}

(7 - 2) (7 + 2)

What is (x^2+11x+18)/(x^2+6x+8) ?
The solution to (x^2+11x+18)/(x^2+6x+8) is (x+9)/(x+4)