What is expand (4(x-2)^3)/(625) ?

The solution to expand (4(x-2)^3)/(625) is (4x^3)/(625)-(24x^2)/(625)+(48x)/(625)-32/625

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expand (4(x-2)^3)/(625)

expand

\frac{4 ( x - 2 ) ^{3}}{625}

\frac{4 x ^{3}}{625} - \frac{24 x ^{2}}{625} + \frac{48 x}{625} - \frac{32}{625}

Solution steps

\frac{4 ( x - 2 ) ^{3}}{625}

(x - 2)^{3} = x^{3} - 6 x^{2} + 12 x - 8

= \frac{4 ( x ^{3} - 6 x ^{2} + 12 x - 8 )}{625}

Expand

4 (x^{3} - 6 x^{2} + 12 x - 8) : 4 x^{3} - 24 x^{2} + 48 x - 32

= \frac{4 x ^{3} - 24 x ^{2} + 48 x - 32}{625}

Apply the fraction rule:

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

\frac{4 x ^{3} - 24 x ^{2} + 48 x - 32}{625} = \frac{4 x ^{3}}{625} - \frac{24 x ^{2}}{625} + \frac{48 x}{625} - \frac{32}{625}

= \frac{4 x ^{3}}{625} - \frac{24 x ^{2}}{625} + \frac{48 x}{625} - \frac{32}{625}

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What is expand (4(x-2)^3)/(625) ?
The solution to expand (4(x-2)^3)/(625) is (4x^3)/(625)-(24x^2)/(625)+(48x)/(625)-32/625