What is expand ((a+h)^2)/2+(a+h) ?

The solution to expand ((a+h)^2)/2+(a+h) is (a^2)/2+ah+(h^2)/2+a+h

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expand ((a+h)^2)/2+(a+h)

expand

\frac{( a + h ) ^{2}}{2} + (a + h)

\frac{a ^{2}}{2} + ah + \frac{h ^{2}}{2} + a + h

Solution steps

\frac{( a + h ) ^{2}}{2} + (a + h)

Remove parentheses:

(a) = a

= \frac{( a + h ) ^{2}}{2} + a + h

(a + h)^{2} = a^{2} + 2 ah + h^{2}

= \frac{h ^{2} + 2 ah + a ^{2}}{2} + a + h

Apply the fraction rule:

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

\frac{a ^{2} + 2 ah + h ^{2}}{2} = \frac{a ^{2}}{2} + \frac{2 ah}{2} + \frac{h ^{2}}{2}

= \frac{a ^{2}}{2} + \frac{2 ah}{2} + \frac{h ^{2}}{2} + a + h

Divide the numbers:

\frac{2}{2} = 1

= \frac{a ^{2}}{2} + ah + \frac{h ^{2}}{2} + a + h

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What is expand ((a+h)^2)/2+(a+h) ?
The solution to expand ((a+h)^2)/2+(a+h) is (a^2)/2+ah+(h^2)/2+a+h