What is expand (5-3sin(θ))^2 ?

The solution to expand (5-3sin(θ))^2 is 25-30sin(θ)+9sin^2(θ)

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expand (5-3sin(θ))^2

expand

(5 - 3 sin (θ))^{2}

25 - 30 sin (θ) + 9 sin^{2} (θ)

Solution steps

(5 - 3 sin (θ))^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(5 - 3 sin (θ))^{2} = 5^{2} - 2 \cdot 5 \cdot 3 sin (θ) + (3 sin (θ))^{2}

= 5^{2} - 2 \cdot 5 \cdot 3 sin (θ) + (3 sin (θ))^{2}

Simplify

5^{2} - 2 \cdot 5 \cdot 3 sin (θ) + (3 sin (θ))^{2} : 25 - 30 sin (θ) + 9 sin^{2} (θ)

= 25 - 30 sin (θ) + 9 sin^{2} (θ)

(x^{3} - 2 x + 3)^{7}

\frac{( 1 - r )}{( x - r ) ( x - 1 )}

(4 - x - 1) (12 - x + 3)

(5 + 7) \cdot π

\frac{x ( x - 1 )}{( x + 3 ) ( x - 2 )}

What is expand (5-3sin(θ))^2 ?
The solution to expand (5-3sin(θ))^2 is 25-30sin(θ)+9sin^2(θ)