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Popular >

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

Solution

simplify

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

Solution

\frac{x ^{2}}{2 - x ^{2}}

Solution steps

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

Apply exponent rule:

(- a)^{n} = a^{n},

if

n

is even

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

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

Apply exponent rule:

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

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

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

= \frac{x ^{2}}{2 - x ^{2}}

Popular Examples

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\frac{2}{3} (\frac{x}{8} - \frac{3}{4}) = \frac{x}{2} - \frac{1}{12}

Frequently Asked Questions (FAQ)

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