Understand the expression: Understand the expression 2(2-x^(2))^(-1). The expression given is a product of 2 and the reciprocal of (2-x^(2)). The exponent -1 indicates that we need to take the reciprocal of the base (2-x^(2)).Simplify the expression: Simplify the expression by taking the reciprocal of (2-x^(2)). The reciprocal of (2-x^(2)) is 1/(2-x^(2)). Therefore, the expression becomes: 2 * 1/(2-x^(2)) = 2/(2-x^(2))Check for simplification: Check for any possible simplification. The expression 2/(2-x^(2)) cannot be simplified further because the numerator and the denominator do not have common factors that can be cancelled out.

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

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Algebra 2

Add, subtract, multiply, and divide polynomials

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

Understand the expression: Understand the expression $2(2-x^{2})^{-1}$ . $\newline$ The expression given is a product of $2$ and the reciprocal of $(2-x^{2})$ . The exponent $-1$ indicates that we need to take the reciprocal of the base $(2-x^{2})$ .
Simplify the expression: Simplify the expression by taking the reciprocal of $(2-x^{2})$ . The reciprocal of $(2-x^{2})$ is $\frac{1}{(2-x^{2})}$ . Therefore, the expression becomes: $2 \times \frac{1}{(2-x^{2})} = \frac{2}{(2-x^{2})}$
Check for simplification: Check for any possible simplification. $\newline$ The expression $\frac{2}{2-x^{2}}$ cannot be simplified further because the numerator and the denominator do not have common factors that can be cancelled out.