What is (x^2+3x)/(x^2+5x+6) ?

The solution to (x^2+3x)/(x^2+5x+6) is x/(x+2)

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simplify (x^2+3x)/(x^2+5x+6)

simplify

\frac{x ^{2} + 3 x}{x ^{2} + 5 x + 6}

\frac{x}{x + 2}

Solution steps

\frac{x ^{2} + 3 x}{x ^{2} + 5 x + 6}

Factor

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

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

Factor

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

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

Cancel the common factor:

x + 3

= \frac{x}{x + 2}

(4 x - 2)^{3}

- 3 \times 5

2 x (x + 4)

\frac{1}{2} sin (x)

\frac{ln ( 81 )}{4}