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

The solution to (4x^2+6x)/(4x+2) is (x(2x+3))/(2x+1)

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

simplify

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

\frac{x ( 2 x + 3 )}{2 x + 1}

Solution steps

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

Factor

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

= \frac{2 x ( 2 x + 3 )}{4 x + 2}

Factor

4 x + 2 : 2 (2 x + 1)

= \frac{2 x ( 2 x + 3 )}{2 ( 2 x + 1 )}

Cancel the common factor:

2

= \frac{x ( 2 x + 3 )}{2 x + 1}

(a^{2} - b^{2})^{3}

\frac{\frac{9}{b ^{2} - b - 12}}{\frac{b - 5}{b ^{2} - b - 12}}

4^{- 2^{- 1}}

43 - 627

(- 3)^{9}