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Popular >

simplify (2sqrt(9-x^2))^2

Solution

simplify

(2 9 - x^{2})^{2}

Solution

36 - 4 x^{2}

Solution steps

(2 9 - x^{2})^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(2 9 - x^{2})^{2} = 2^{2} (9 - x^{2})^{2}

= 2^{2} (9 - x^{2})^{2}

2^{2} = 4

= 4 (9 - x^{2})^{2}

Apply exponent rule:

assuming

n i s o dd or a \geq 0

(9 - x^{2})^{2} = 9 - x^{2}

= 4 (9 - x^{2})

Expand

4 (9 - x^{2}) : 36 - 4 x^{2}

= 36 - 4 x^{2}

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Frequently Asked Questions (FAQ)

What is (2sqrt(9-x^2))^2 ?
The solution to (2sqrt(9-x^2))^2 is 36-4x^2