What is expand ((u+(u+at))t)/2 ?

The solution to expand ((u+(u+at))t)/2 is ut+(at^2)/2

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expand ((u+(u+at))t)/2

expand

\frac{( u + ( u + a t ) ) t}{2}

u t + \frac{a t ^{2}}{2}

Solution steps

\frac{( u + ( u + a t ) ) t}{2}

Remove parentheses:

(a) = a

= \frac{( u + u + a t ) t}{2}

Add similar elements:

u + u = 2 u

= \frac{t ( a t + 2 u )}{2}

Expand

(2 u + a t) t : 2 u t + a t^{2}

= \frac{2 u t + a t ^{2}}{2}

Apply the fraction rule:

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

\frac{2 u t + a t ^{2}}{2} = \frac{2 u t}{2} + \frac{a t ^{2}}{2}

= \frac{2 u t}{2} + \frac{a t ^{2}}{2}

Divide the numbers:

\frac{2}{2} = 1

= u t + \frac{a t ^{2}}{2}

(a - 1) (a^{^{'}} - 1)

\frac{x + y ( z + w )}{w + y x}

x (x + 4) - 4 x x

\frac{2}{x ( 4 x - 1 )}

- \frac{38}{( 5 x + 1 ) ^{2}}

What is expand ((u+(u+at))t)/2 ?
The solution to expand ((u+(u+at))t)/2 is ut+(at^2)/2