What is (-3sqrt(3sin(x)))^2 ?

The solution to (-3sqrt(3sin(x)))^2 is 27sin(x)

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simplify (-3sqrt(3sin(x)))^2

simplify

(- 3 3 sin (x))^{2}

27 sin (x)

Solution steps

(- 3 3 sin (x))^{2}

Apply exponent rule:

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

n

is even

(- 3 3 sin (x))^{2} = (3 3 sin (x))^{2}

= (3 3 sin (x))^{2}

Apply exponent rule:

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

(3 3 sin (x))^{2} = 3^{2} (3 sin (x))^{2}

= 3^{2} (3 sin (x))^{2}

3^{2} = 9

= 9 (3 sin (x))^{2}

(3 sin (x))^{2} = 3 sin (x)

= 9 \cdot 3 sin (x)

Multiply the numbers:

9 \cdot 3 = 27

= 27 sin (x)

450 r^{4} - 81 r^{8} - 625

5 ∣ 12 - 4 ∣

2 (10 - 3)

9 z^{2} - 30 z + 25

(- 3 + 6 i) (- 3 - 6 i)