What is ((1-x)/(sqrt(2x-x^2)))^2 ?

The solution to ((1-x)/(sqrt(2x-x^2)))^2 is ((1-x)^2)/(2x-x^2)

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simplify ((1-x)/(sqrt(2x-x^2)))^2

simplify

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

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

Solution steps

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

Apply exponent rule:

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

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

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

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

2 x^{2} - 12 x - 14 = x^{2} - 8 x

(x + 4) (x - 15) = 6 x

3 x^{3} - 18 x^{2} + 15 x

49 x^{8} y z^{4} + 28 x^{4} y^{4} z^{3}

x + 3 = x^{2} + 5 x + 6

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