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Popular >

simplify (r-r/2+((2r))/2)^2

Solution

simplify

(r - \frac{r}{2} + \frac{( 2 r )}{2})^{2}

Solution

\frac{9 r ^{2}}{4}

Solution steps

(r - \frac{r}{2} + \frac{2 r}{2})^{2}

Join

r - \frac{r}{2} + \frac{2 r}{2} : \frac{3 r}{2}

= (\frac{3 r}{2})^{2}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( 3 r ) ^{2}}{2 ^{2}}

Simplify

(3 r)^{2} : 9 r^{2}

= \frac{9 r ^{2}}{2 ^{2}}

2^{2} = 4

= \frac{9 r ^{2}}{4}

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Frequently Asked Questions (FAQ)

What is (r-r/2+((2r))/2)^2 ?
The solution to (r-r/2+((2r))/2)^2 is (9r^2)/4