What is factor ((4x^2-2x+3x^3))/((2x+x^2)) ?

The solution to factor ((4x^2-2x+3x^3))/((2x+x^2)) is (4x-2+3x^2)/(2+x)

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factor ((4x^2-2x+3x^3))/((2x+x^2))

factor

\frac{( 4 x ^{2} - 2 x + 3 x ^{3} )}{( 2 x + x ^{2} )}

\frac{4 x - 2 + 3 x ^{2}}{2 + x}

Solution steps

\frac{4 x ^{2} - 2 x + 3 x ^{3}}{2 x + x ^{2}}

Factor

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

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

Factor

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

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

Cancel the common factor:

x

= \frac{4 x - 2 + 3 x ^{2}}{2 + x}

\frac{1}{4} - \frac{3}{8}

90 a u - 36 a v - 150 y u + 60 y v

\frac{4}{3} π 5^{3}

4 n^{2} - 49

3 b^{3} - 5 b^{2} + 2 b

What is factor ((4x^2-2x+3x^3))/((2x+x^2)) ?
The solution to factor ((4x^2-2x+3x^3))/((2x+x^2)) is (4x-2+3x^2)/(2+x)