What is (2x^2+4x)/(x^2+5x+6) ?

The solution to (2x^2+4x)/(x^2+5x+6) is (2x)/(x+3)

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simplify (2x^2+4x)/(x^2+5x+6)

simplify

\frac{2 x ^{2} + 4 x}{x ^{2} + 5 x + 6}

\frac{2 x}{x + 3}

Solution steps

\frac{2 x ^{2} + 4 x}{x ^{2} + 5 x + 6}

Factor

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

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

Factor

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

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

Cancel the common factor:

x + 2

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

(2 a - 3) (a + 3)

10 x - 8 x + 2 + 10

(- 5 i) (- 3 i)

\frac{15}{27}

\frac{15}{14}

What is (2x^2+4x)/(x^2+5x+6) ?
The solution to (2x^2+4x)/(x^2+5x+6) is (2x)/(x+3)