What is expand sin^2(A)(2-sin^2(A)) ?

The solution to expand sin^2(A)(2-sin^2(A)) is 2sin^2(A)-sin^4(A)

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expand sin^2(A)(2-sin^2(A))

expand

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

2 sin^{2} (A) - sin^{4} (A)

Solution steps

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

Apply the distributive law:

a (b - c) = ab - a c

sin^{2} (A) (2 - sin^{2} (A)) = sin^{2} (A) \cdot 2 - sin^{2} (A) sin^{2} (A)

= sin^{2} (A) \cdot 2 - sin^{2} (A) sin^{2} (A)

Simplify

sin^{2} (A) \cdot 2 - sin^{2} (A) sin^{2} (A) : 2 sin^{2} (A) - sin^{4} (A)

= 2 sin^{2} (A) - sin^{4} (A)

\frac{y ( x - y ln ( y ) )}{x ( x ln ( x ) - y )}

9 (2 - 5)

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

y^{2} (1 - y)^{2} + \frac{4 y ( 1 - y ) ^{3}}{3}

(r cos (θ) + r sin (θ)) r

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