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Popular >

simplify (-2sqrt(x))^2

Solution

simplify

(- 2 x)^{2}

Solution

4 x

Solution steps

(- 2 x)^{2}

Apply exponent rule:

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

if

n

is even

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

= (2 x)^{2}

Apply exponent rule:

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

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

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

2^{2} = 4

= 4 (x)^{2}

(x)^{2} = x

= 4 x

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Frequently Asked Questions (FAQ)

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