What is (x^2)/((x^2-2x+2)^2) ?

The solution to (x^2)/((x^2-2x+2)^2) is (x^2)/((x^2-2x+2)^2)

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

simplify

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

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

Solution steps

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

Apply exponent rule:

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

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

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

Apply exponent rule:

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

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

- 3 a^{2} b^{2} (a^{2} - b^{2})

e^{- 0.05 \cdot 0.5}

\frac{1.5 1 ^{2}}{1.7 5 ^{2}}

4.7 \cdot 1 0^{- 5}

40 e^{- 0}

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