What is expand ((2ct^2+3)t)/2 ?

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

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expand ((2ct^2+3)t)/2

expand

\frac{( 2 c t ^{2} + 3 ) t}{2}

c t^{3} + \frac{3 t}{2}

Solution steps

\frac{( 2 c t ^{2} + 3 ) t}{2}

Expand

(2 c t^{2} + 3) t : 2 c t^{3} + 3 t

= \frac{2 c t ^{3} + 3 t}{2}

Apply the fraction rule:

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

\frac{2 c t ^{3} + 3 t}{2} = \frac{2 c t ^{3}}{2} + \frac{3 t}{2}

= \frac{2 c t ^{3}}{2} + \frac{3 t}{2}

Divide the numbers:

\frac{2}{2} = 1

= c t^{3} + \frac{3 t}{2}

\frac{( x + 14 )}{( x - 4 ) ( x + 2 )}

\frac{1}{5 ( 2 - x )}

(x + y + 3 z = 8,) \cdot (2 x + 3 y + z = 12)

\frac{sec ^{2} ( x ) ( 1 + x ) - tan ( x )}{( 1 + x ) ^{2}}

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

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