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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

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

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

Apply exponent rule:

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

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

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Frequently Asked Questions (FAQ)

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