What is expand ((2x+5)^3)/2 ?

The solution to expand ((2x+5)^3)/2 is 4x^3+30x^2+75x+125/2

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expand ((2x+5)^3)/2

expand

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

4 x^{3} + 30 x^{2} + 75 x + \frac{125}{2}

Solution steps

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

(2 x + 5)^{3} = 8 x^{3} + 60 x^{2} + 150 x + 125

= \frac{8 x ^{3} + 60 x ^{2} + 150 x + 125}{2}

Apply the fraction rule:

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

\frac{8 x ^{3} + 60 x ^{2} + 150 x + 125}{2} = \frac{8 x ^{3}}{2} + \frac{60 x ^{2}}{2} + \frac{150 x}{2} + \frac{125}{2}

= \frac{8 x ^{3}}{2} + \frac{60 x ^{2}}{2} + \frac{150 x}{2} + \frac{125}{2}

Divide the numbers:

\frac{8}{2} = 4

= 4 x^{3} + \frac{60 x ^{2}}{2} + \frac{150 x}{2} + \frac{125}{2}

Divide the numbers:

\frac{60}{2} = 30

= 4 x^{3} + 30 x^{2} + \frac{150 x}{2} + \frac{125}{2}

Divide the numbers:

\frac{150}{2} = 75

= 4 x^{3} + 30 x^{2} + 75 x + \frac{125}{2}

(3 x^{2} y + 3 x) d x + (x^{3} + 2) ey d y

\frac{1}{3} (\frac{6}{5} x - 3)

(sin (x) + tan (x))^{2} + cos^{2} (x) - sec^{2} (x)

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

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

What is expand ((2x+5)^3)/2 ?
The solution to expand ((2x+5)^3)/2 is 4x^3+30x^2+75x+125/2