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Popular >

simplify (a/2+2/a)^2

Solution

simplify

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

Solution

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

Solution steps

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

Join

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

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

Apply exponent rule:

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

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

Simplify

(2 a)^{2} : 4 a^{2}

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

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Frequently Asked Questions (FAQ)

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