What is (x^2+8x+15)/(3x+9) ?

The solution to (x^2+8x+15)/(3x+9) is (x+5)/3

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simplify (x^2+8x+15)/(3x+9)

simplify

\frac{x ^{2} + 8 x + 15}{3 x + 9}

\frac{x + 5}{3}

Solution steps

\frac{x ^{2} + 8 x + 15}{3 x + 9}

Factor

x^{2} + 8 x + 15 : (x + 3) (x + 5)

= \frac{( x + 3 ) ( x + 5 )}{3 x + 9}

Factor

3 x + 9 : 3 (x + 3)

= \frac{( x + 3 ) ( x + 5 )}{3 ( x + 3 )}

Cancel the common factor:

x + 3

= \frac{x + 5}{3}

\frac{4}{5} + \frac{5}{4}

\frac{110 - 100}{60 - 3}

(x + 1) (x - 2) (x + 4) (3 x + 7)

\frac{7}{5 x - 2 a}

\frac{12 3 ^{2}}{12 3 ^{3}}