What is (x^2+6x+8)/(5x+10) ?

The solution to (x^2+6x+8)/(5x+10) is (x+4)/5

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simplify (x^2+6x+8)/(5x+10)

simplify

\frac{x ^{2} + 6 x + 8}{5 x + 10}

\frac{x + 4}{5}

Solution steps

\frac{x ^{2} + 6 x + 8}{5 x + 10}

Factor

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

= \frac{( x + 2 ) ( x + 4 )}{5 x + 10}

Factor

5 x + 10 : 5 (x + 2)

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

Cancel the common factor:

x + 2

= \frac{x + 4}{5}

(3 x + 5) (x - 4)

\frac{64}{- 8}

\frac{7}{3 + 2}

(x - 1) (x + 3)^{2}

15 \times 10