What is expand (4*(t-10)^2)/(375) ?

The solution to expand (4*(t-10)^2)/(375) is (4t^2)/(375)-(16t)/(75)+16/15

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expand (4*(t-10)^2)/(375)

expand

\frac{4 \cdot ( t - 10 ) ^{2}}{375}

\frac{4 t ^{2}}{375} - \frac{16 t}{75} + \frac{16}{15}

Solution steps

\frac{4 ( t - 10 ) ^{2}}{375}

(t - 10)^{2} = t^{2} - 20 t + 100

= \frac{4 ( t ^{2} - 20 t + 100 )}{375}

Expand

4 (t^{2} - 20 t + 100) : 4 t^{2} - 80 t + 400

= \frac{4 t ^{2} - 80 t + 400}{375}

Apply the fraction rule:

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

\frac{4 t ^{2} - 80 t + 400}{375} = \frac{4 t ^{2}}{375} - \frac{80 t}{375} + \frac{400}{375}

= \frac{4 t ^{2}}{375} - \frac{80 t}{375} + \frac{400}{375}

Cancel

\frac{80 t}{375} : \frac{16 t}{75}

= \frac{4 t ^{2}}{375} - \frac{16 t}{75} + \frac{400}{375}

Cancel

\frac{400}{375} : \frac{16}{15}

= \frac{4 t ^{2}}{375} - \frac{16 t}{75} + \frac{16}{15}

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What is expand (4*(t-10)^2)/(375) ?
The solution to expand (4*(t-10)^2)/(375) is (4t^2)/(375)-(16t)/(75)+16/15