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

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

Popular >

expand ((2x^2+x)^2)/4

expand

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

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

Solution steps

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

(2 x^{2} + x)^{2} = 4 x^{4} + 4 x^{3} + x^{2}

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

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

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

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

Divide the numbers:

\frac{4}{4} = 1

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

\frac{s}{( s + 2 ) ^{2} ( s ^{2} + 25 )}

- \frac{( r + θ ) ( r - θ )}{θ ^{2}}

\frac{( 3 x + 2 ) ( 9 x - 2 )}{3}

\frac{- e ^{2 x} + 2 x + 7}{x ( x + 2 )}

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

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