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Popular >

simplify (1/x+1/c)^2

Solution

simplify

(\frac{1}{x} + \frac{1}{c})^{2}

Solution

\frac{( c + x ) ^{2}}{c ^{2} x ^{2}}

Solution steps

(\frac{1}{x} + \frac{1}{c})^{2}

Join

\frac{1}{x} + \frac{1}{c} : \frac{c + x}{c x}

= (\frac{c + x}{c x})^{2}

Apply exponent rule:

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

= \frac{( c + x ) ^{2}}{( c x ) ^{2}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(c x)^{2} = c^{2} x^{2}

= \frac{( c + x ) ^{2}}{c ^{2} x ^{2}}

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Frequently Asked Questions (FAQ)

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