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Popular >

simplify (a/2+2b)^2

Solution

simplify

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

Solution

\frac{( 4 b + a ) ^{2}}{4}

Solution steps

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

Join

\frac{a}{2} + 2 b : \frac{4 b + a}{2}

= (\frac{4 b + a}{2})^{2}

Apply exponent rule:

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

= \frac{( 4 b + a ) ^{2}}{2 ^{2}}

2^{2} = 4

= \frac{( 4 b + a ) ^{2}}{4}

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Frequently Asked Questions (FAQ)

What is (a/2+2b)^2 ?
The solution to (a/2+2b)^2 is ((4b+a)^2)/4