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Popular >

simplify (a+1/a)^2

Solution

simplify

(a + \frac{1}{a})^{2}

Solution

\frac{( a ^{2} + 1 ) ^{2}}{a ^{2}}

Solution steps

(a + \frac{1}{a})^{2}

Join

a + \frac{1}{a} : \frac{a ^{2} + 1}{a}

= (\frac{a ^{2} + 1}{a})^{2}

Apply exponent rule:

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

= \frac{( a ^{2} + 1 ) ^{2}}{a ^{2}}

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Frequently Asked Questions (FAQ)

What is (a+1/a)^2 ?
The solution to (a+1/a)^2 is ((a^2+1)^2)/(a^2)