What is expand ((3-6sin(θ))^2)dθ ?

The solution to expand ((3-6sin(θ))^2)dθ is 9dθ-36sin(θ)dθ+36sin^2(θ)dθ

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expand ((3-6sin(θ))^2)dθ

expand

((3 - 6 sin (θ))^{2}) d θ

9 d θ - 36 sin (θ) d θ + 36 sin^{2} (θ) d θ

Solution steps

((3 - 6 sin (θ))^{2}) d θ

Remove parentheses:

(a) = a

= (3 - 6 sin (θ))^{2} d θ

(3 - 6 sin (θ))^{2} = 9 - 36 sin (θ) + 36 sin^{2} (θ)

= (36 sin^{2} (θ) - 36 sin (θ) + 9) d θ

Distribute parentheses

= d θ \cdot 9 + d θ (- 36 sin (θ)) + d θ \cdot 36 sin^{2} (θ)

Apply minus-plus rules

+ (- a) = - a

= 9 d θ - 36 sin (θ) d θ + 36 sin^{2} (θ) d θ

(2 a - 3 e) (4 a^{2} + 6 a e + 9 e)

(e^{2 x} + e^{x})^{3}

\frac{1}{3} (8 x - 9 y = 2)

(e + f) (e - f)

10 π (400 - 200 x)

What is expand ((3-6sin(θ))^2)dθ ?
The solution to expand ((3-6sin(θ))^2)dθ is 9dθ-36sin(θ)dθ+36sin^2(θ)dθ