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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

if

n

is even

(- \frac{x}{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}}

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

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

Popular Examples

simplify (x^2-16)/(9-x)*(x^2+x-90)/(x^2+14x+40)simplify

\frac{x ^{2} - 16}{9 - x} \cdot \frac{x ^{2} + x - 90}{x ^{2} + 14 x + 40}

expand (3x-2)(x+5)expand

(3 x - 2) (x + 5)

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\frac{150}{1000}

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2 x^{2} - 10 x - 28

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2.5 \times 2.5

Frequently Asked Questions (FAQ)

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