What is expand (5(x+2)(x^2+4x+4)^{1/4})/2 ?

The solution to expand (5(x+2)(x^2+4x+4)^{1/4})/2 is (5x(x^2+4x+4)^{1/4})/2+5(x^2+4x+4)^{1/4}

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expand (5(x+2)(x^2+4x+4)^{1/4})/2

expand

\frac{5 ( x + 2 ) ( x ^{2} + 4 x + 4 ) ^{\frac{1}{4}}}{2}

\frac{5 x ( x ^{2} + 4 x + 4 ) ^{\frac{1}{4}}}{2} + 5 (x^{2} + 4 x + 4)^{\frac{1}{4}}

Solution steps

\frac{5 ( x + 2 ) ( x ^{2} + 4 x + 4 ) ^{\frac{1}{4}}}{2}

Expand

5 (x + 2) (x^{2} + 4 x + 4)^{\frac{1}{4}} : 5 x (x^{2} + 4 x + 4)^{\frac{1}{4}} + 10 (x^{2} + 4 x + 4)^{\frac{1}{4}}

= \frac{5 x ( x ^{2} + 4 x + 4 ) ^{\frac{1}{4}} + 10 ( x ^{2} + 4 x + 4 ) ^{\frac{1}{4}}}{2}

Apply the fraction rule:

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

\frac{5 x ( x ^{2} + 4 x + 4 ) ^{\frac{1}{4}} + 10 ( x ^{2} + 4 x + 4 ) ^{\frac{1}{4}}}{2} = \frac{5 x ( x ^{2} + 4 x + 4 ) ^{\frac{1}{4}}}{2} + \frac{10 ( x ^{2} + 4 x + 4 ) ^{\frac{1}{4}}}{2}

= \frac{5 x ( x ^{2} + 4 x + 4 ) ^{\frac{1}{4}}}{2} + \frac{10 ( x ^{2} + 4 x + 4 ) ^{\frac{1}{4}}}{2}

Divide the numbers:

\frac{10}{2} = 5

= \frac{5 x ( x ^{2} + 4 x + 4 ) ^{\frac{1}{4}}}{2} + 5 (x^{2} + 4 x + 4)^{\frac{1}{4}}

\frac{1}{s ( s - 4 )}

cos (4 (π - θ))

\frac{x yz ( 4 x y + 5 z ) ( 4 x y - 5 z )}{12}

37 sin (\frac{2 π}{365} (x - 101)) + 25

π (\frac{16 2}{5} + \frac{16}{3})

What is expand (5(x+2)(x^2+4x+4)^{1/4})/2 ?
The solution to expand (5(x+2)(x^2+4x+4)^{1/4})/2 is (5x(x^2+4x+4)^{1/4})/2+5(x^2+4x+4)^{1/4}