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Popular >

simplify (-2sin(2x))^2

Solution

simplify

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

Solution

4 sin^{2} (2 x)

Solution steps

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

Apply exponent rule:

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

if

n

is even

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

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

Apply exponent rule:

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

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

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

2^{2} = 4

= 4 sin^{2} (2 x)

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Frequently Asked Questions (FAQ)

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