What is expand ((50+t)^3)/c ?

The solution to expand ((50+t)^3)/c is (125000)/c+(7500t)/c+(150t^2)/c+(t^3)/c

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expand ((50+t)^3)/c

expand

\frac{( 50 + t ) ^{3}}{c}

\frac{125000}{c} + \frac{7500 t}{c} + \frac{150 t ^{2}}{c} + \frac{t ^{3}}{c}

Solution steps

\frac{( 50 + t ) ^{3}}{c}

(50 + t)^{3} = 125000 + 7500 t + 150 t^{2} + t^{3}

= \frac{125000 + 7500 t + 150 t ^{2} + t ^{3}}{c}

Apply the fraction rule:

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

\frac{125000 + 7500 t + 150 t ^{2} + t ^{3}}{c} = \frac{125000}{c} + \frac{7500 t}{c} + \frac{150 t ^{2}}{c} + \frac{t ^{3}}{c}

= \frac{125000}{c} + \frac{7500 t}{c} + \frac{150 t ^{2}}{c} + \frac{t ^{3}}{c}

A (7 + 3) + B (7 - 3)

\frac{a ^{3}}{( a - 1 ) ^{2}}

\frac{2}{( s + 3 ) ( s ^{2} + 4 )}

(i w + 5) (i w - 1) (i w - 2)

e^{3 (t - 1)}

What is expand ((50+t)^3)/c ?
The solution to expand ((50+t)^3)/c is (125000)/c+(7500t)/c+(150t^2)/c+(t^3)/c