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

The solution to expand ((x+4)^4)/4 is (x^4)/4+4x^3+24x^2+64x+64

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

expand

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

\frac{x ^{4}}{4} + 4 x^{3} + 24 x^{2} + 64 x + 64

Solution steps

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

(x + 4)^{4} = x^{4} + 16 x^{3} + 96 x^{2} + 256 x + 256

= \frac{x ^{4} + 16 x ^{3} + 96 x ^{2} + 256 x + 256}{4}

Apply the fraction rule:

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

\frac{x ^{4} + 16 x ^{3} + 96 x ^{2} + 256 x + 256}{4} = \frac{x ^{4}}{4} + \frac{16 x ^{3}}{4} + \frac{96 x ^{2}}{4} + \frac{256 x}{4} + \frac{256}{4}

= \frac{x ^{4}}{4} + \frac{16 x ^{3}}{4} + \frac{96 x ^{2}}{4} + \frac{256 x}{4} + \frac{256}{4}

\frac{16 x ^{3}}{4} = 4 x^{3}

\frac{96 x ^{2}}{4} = 24 x^{2}

\frac{256 x}{4} = 64 x

\frac{256}{4} = 64

= \frac{x ^{4}}{4} + 4 x^{3} + 24 x^{2} + 64 x + 64

(x^{\frac{4}{5}} + y^{\frac{4}{5}})^{2}

\frac{( ( 2 x - 5 ) ( x + 2 ) )}{( x + 1 )}

ln (\frac{x - 1}{x})

\frac{( 2 h - a ) ( 2 h - 3 a )}{2}

\frac{3 ( x ^{2} + 1 ) ^{\frac{5}{2}} - 5 ( x ^{2} + 1 ) ^{\frac{3}{2}}}{15}

What is expand ((x+4)^4)/4 ?
The solution to expand ((x+4)^4)/4 is (x^4)/4+4x^3+24x^2+64x+64