What is expand (mR^2(gt^2-2h)*0.5)/h ?

The solution to expand (mR^2(gt^2-2h)*0.5)/h is (0.5mR^2gt^2)/h-mR^2

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expand (mR^2(gt^2-2h)*0.5)/h

expand

\frac{m R ^{2} ( g t ^{2} - 2 h ) \cdot 0.5}{h}

\frac{0.5 m R ^{2} g t ^{2}}{h} - m R^{2}

Solution steps

\frac{m R ^{2} ( g t ^{2} - 2 h ) \cdot 0.5}{h}

Expand

m R^{2} (g t^{2} - 2 h) \cdot 0.5 : 0.5 m R^{2} g t^{2} - m R^{2} h

= \frac{0.5 m R ^{2} g t ^{2} - m R ^{2} h}{h}

Apply the fraction rule:

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

\frac{0.5 m R ^{2} g t ^{2} - m R ^{2} h}{h} = \frac{0.5 m R ^{2} g t ^{2}}{h} - \frac{m R ^{2} h}{h}

= \frac{0.5 m R ^{2} g t ^{2}}{h} - \frac{m R ^{2} h}{h}

Cancel

\frac{m R ^{2} h}{h} : m R^{2}

= \frac{0.5 m R ^{2} g t ^{2}}{h} - m R^{2}

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What is expand (mR^2(gt^2-2h)*0.5)/h ?
The solution to expand (mR^2(gt^2-2h)*0.5)/h is (0.5mR^2gt^2)/h-mR^2