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

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

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

simplify

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

x (2 x^{2} + 4 x - 1)

Solution steps

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

Factor

2 x^{4} + 4 x^{3} - x^{2} : x^{2} (2 x^{2} + 4 x - 1)

= \frac{x ^{2} ( 2 x ^{2} + 4 x - 1 )}{x}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

x^{2} = xx

= \frac{xx ( 2 x ^{2} + 4 x - 1 )}{x}

Cancel the common factor:

x

= x (2 x^{2} + 4 x - 1)

(4 x - 2 y)^{3}

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\frac{6 a ^{3} b ^{2}}{3 a ^{2} b - 6 a b ^{2}}

(x + 11) (x - 2)