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Popular >

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

Solution

expand

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

Solution

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}

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Frequently Asked Questions (FAQ)

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