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Popular >

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

Solution

simplify

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

Solution

4 x^{2} - 4

Solution steps

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

Apply exponent rule:

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

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

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

2^{2} = 4

= 4 (x^{2} - 1)^{2}

Apply exponent rule:

assuming

n i s o dd or a \geq 0

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

= 4 (x^{2} - 1)

Expand

4 (x^{2} - 1) : 4 x^{2} - 4

= 4 x^{2} - 4

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Frequently Asked Questions (FAQ)

What is (2sqrt(x^2-1))^2 ?
The solution to (2sqrt(x^2-1))^2 is 4x^2-4