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

The solution to expand (2(t-10)^2)/t is 2t-40+(200)/t

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expand (2(t-10)^2)/t

expand

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

2 t - 40 + \frac{200}{t}

Solution steps

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

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

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

Expand

2 (t^{2} - 20 t + 100) : 2 t^{2} - 40 t + 200

= \frac{2 t ^{2} - 40 t + 200}{t}

Apply the fraction rule:

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

\frac{2 t ^{2} - 40 t + 200}{t} = \frac{2 t ^{2}}{t} - \frac{40 t}{t} + \frac{200}{t}

= \frac{2 t ^{2}}{t} - \frac{40 t}{t} + \frac{200}{t}

Cancel

\frac{2 t ^{2}}{t} : 2 t

= 2 t - \frac{40 t}{t} + \frac{200}{t}

Cancel

\frac{40 t}{t} : 40

= 2 t - 40 + \frac{200}{t}

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What is expand (2(t-10)^2)/t ?
The solution to expand (2(t-10)^2)/t is 2t-40+(200)/t