What is expand (72+(x^2)/2)/(2) ?

The solution to expand (72+(x^2)/2)/(2) is (x^2)/4+36

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expand (72+(x^2)/2)/(2)

expand

\frac{72 + \frac{x ^{2}}{2}}{2}

\frac{x ^{2}}{4} + 36

Solution steps

\frac{72 + \frac{x ^{2}}{2}}{2}

Join

72 + \frac{x ^{2}}{2} : \frac{144 + x ^{2}}{2}

= \frac{\frac{144 + x ^{2}}{2}}{2}

Apply the fraction rule:

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

= \frac{144 + x ^{2}}{2 \cdot 2}

Multiply the numbers:

2 \cdot 2 = 4

= \frac{144 + x ^{2}}{4}

Apply the fraction rule:

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

\frac{144 + x ^{2}}{4} = \frac{144}{4} + \frac{x ^{2}}{4}

= \frac{144}{4} + \frac{x ^{2}}{4}

Divide the numbers:

\frac{144}{4} = 36

= 36 + \frac{x ^{2}}{4}

Rewrite in standard form

= \frac{x ^{2}}{4} + 36

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\frac{6 d + 14}{2}

What is expand (72+(x^2)/2)/(2) ?
The solution to expand (72+(x^2)/2)/(2) is (x^2)/4+36