What is expand (3(2-t)t)/4 ?

The solution to expand (3(2-t)t)/4 is -(3t^2)/4+(3t)/2

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expand (3(2-t)t)/4

expand

\frac{3 ( 2 - t ) t}{4}

- \frac{3 t ^{2}}{4} + \frac{3 t}{2}

Solution steps

\frac{3 ( 2 - t ) t}{4}

Expand

3 (2 - t) t : 6 t - 3 t^{2}

= \frac{6 t - 3 t ^{2}}{4}

Apply the fraction rule:

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

\frac{6 t - 3 t ^{2}}{4} = \frac{6 t}{4} - \frac{3 t ^{2}}{4}

= \frac{6 t}{4} - \frac{3 t ^{2}}{4}

Cancel

\frac{6 t}{4} : \frac{3 t}{2}

= \frac{3 t}{2} - \frac{3 t ^{2}}{4}

Rewrite in standard form

= - \frac{3 t ^{2}}{4} + \frac{3 t}{2}

L {sin (6 t)} (s - 2)

\frac{3 x ^{2}}{( x - 6 ) ( x + 7 )}

(t e^{- 2 t} + sin (t) + cos (t))^{2}

(1 + y - 1)^{2}

(1 + 2 \cdot sin (θ))^{2}

What is expand (3(2-t)t)/4 ?
The solution to expand (3(2-t)t)/4 is -(3t^2)/4+(3t)/2