What is expand (12t^2(5-t))/(625) ?

The solution to expand (12t^2(5-t))/(625) is -(12t^3)/(625)+(12t^2)/(125)

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expand (12t^2(5-t))/(625)

expand

\frac{12 t ^{2} ( 5 - t )}{625}

- \frac{12 t ^{3}}{625} + \frac{12 t ^{2}}{125}

Solution steps

\frac{12 t ^{2} ( 5 - t )}{625}

Expand

12 t^{2} (5 - t) : 60 t^{2} - 12 t^{3}

= \frac{60 t ^{2} - 12 t ^{3}}{625}

Apply the fraction rule:

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

\frac{60 t ^{2} - 12 t ^{3}}{625} = \frac{60 t ^{2}}{625} - \frac{12 t ^{3}}{625}

= \frac{60 t ^{2}}{625} - \frac{12 t ^{3}}{625}

Cancel

\frac{60 t ^{2}}{625} : \frac{12 t ^{2}}{125}

= \frac{12 t ^{2}}{125} - \frac{12 t ^{3}}{625}

Rewrite in standard form

= - \frac{12 t ^{3}}{625} + \frac{12 t ^{2}}{125}

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What is expand (12t^2(5-t))/(625) ?
The solution to expand (12t^2(5-t))/(625) is -(12t^3)/(625)+(12t^2)/(125)