What is expand (asin(θ)-a)^2 ?

The solution to expand (asin(θ)-a)^2 is a^2sin^2(θ)-2a^2sin(θ)+a^2

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expand (asin(θ)-a)^2

expand

(a sin (θ) - a)^{2}

a^{2} sin^{2} (θ) - 2 a^{2} sin (θ) + a^{2}

Solution steps

(a sin (θ) - a)^{2}

Apply Perfect Square Formula:

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

(a sin (θ) - a)^{2} = (a sin (θ))^{2} - 2 a sin (θ) a + a^{2}

= (a sin (θ))^{2} - 2 a sin (θ) a + a^{2}

Simplify

(a sin (θ))^{2} - 2 a sin (θ) a + a^{2} : a^{2} sin^{2} (θ) - 2 a^{2} sin (θ) + a^{2}

= a^{2} sin^{2} (θ) - 2 a^{2} sin (θ) + a^{2}

\frac{( - 1 ) ^{n}}{2 ^{n} ( 3 n + 1 )}

5 (7 - 10)

\frac{10 x}{( x ^{2} + 1 ) ^{2}}

\frac{1}{4} (3 (1, 2, 3, - 2) + 2 (0, - 2, 1, 2) - (2, - 2, 1, 3))

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

What is expand (asin(θ)-a)^2 ?
The solution to expand (asin(θ)-a)^2 is a^2sin^2(θ)-2a^2sin(θ)+a^2