What is expand (7(x+h)^2)/2 ?

The solution to expand (7(x+h)^2)/2 is (7x^2)/2+7xh+(7h^2)/2

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expand (7(x+h)^2)/2

expand

\frac{7 ( x + h ) ^{2}}{2}

\frac{7 x ^{2}}{2} + 7 x h + \frac{7 h ^{2}}{2}

Solution steps

\frac{7 ( x + h ) ^{2}}{2}

(x + h)^{2} = x^{2} + 2 x h + h^{2}

= \frac{7 ( x ^{2} + 2 x h + h ^{2} )}{2}

Expand

7 (x^{2} + 2 x h + h^{2}) : 7 x^{2} + 14 x h + 7 h^{2}

= \frac{7 x ^{2} + 14 x h + 7 h ^{2}}{2}

Apply the fraction rule:

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

\frac{7 x ^{2} + 14 x h + 7 h ^{2}}{2} = \frac{7 x ^{2}}{2} + \frac{14 x h}{2} + \frac{7 h ^{2}}{2}

= \frac{7 x ^{2}}{2} + \frac{14 x h}{2} + \frac{7 h ^{2}}{2}

Divide the numbers:

\frac{14}{2} = 7

= \frac{7 x ^{2}}{2} + 7 x h + \frac{7 h ^{2}}{2}

(cos (a) + cos (b)) (cos (a) - cos (b))

(A x + B) (x^{4} + 2 x^{3} + 5 x^{2} + 4 x + 4) (x^{6} + 3 x^{4} + 3 x^{2} + 1)

\frac{x ^{2} + 2}{( x - 2 ) ( x - 3 ) ( x - 4 )}

32 e^{t} \cdot U (t - 4)

3 - (2 - 3)^{2}

What is expand (7(x+h)^2)/2 ?
The solution to expand (7(x+h)^2)/2 is (7x^2)/2+7xh+(7h^2)/2