What is expand (cos^2(x)+sin^2(x))^2 ?

The solution to expand (cos^2(x)+sin^2(x))^2 is cos^4(x)+2sin^2(x)-sin^4(x)

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expand (cos^2(x)+sin^2(x))^2

expand

(cos^{2} (x) + sin^{2} (x))^{2}

cos^{4} (x) + 2 sin^{2} (x) - sin^{4} (x)

Solution steps

(cos^{2} (x) + sin^{2} (x))^{2}

Apply Perfect Square Formula:

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

(cos^{2} (x) + sin^{2} (x))^{2} = (cos^{2} (x))^{2} + 2 cos^{2} (x) sin^{2} (x) + (sin^{2} (x))^{2}

= (cos^{2} (x))^{2} + 2 cos^{2} (x) sin^{2} (x) + (sin^{2} (x))^{2}

Simplify

(cos^{2} (x))^{2} + 2 cos^{2} (x) sin^{2} (x) + (sin^{2} (x))^{2} : cos^{4} (x) + 2 sin^{2} (x) - sin^{4} (x)

= cos^{4} (x) + 2 sin^{2} (x) - sin^{4} (x)

(cos (θ) + i sin (θ))^{2} (1 + 2 cos (θ))

(3 x - 5 y = 4,) (3 x - 2 y = 12)

\frac{x + y i - 3}{( x + y i ) ^{2} + 2 ( x + y i ) + 2}

\frac{1}{s ( s ^{3} + 6 s ^{2} + 11 x + 6 )}

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

What is expand (cos^2(x)+sin^2(x))^2 ?
The solution to expand (cos^2(x)+sin^2(x))^2 is cos^4(x)+2sin^2(x)-sin^4(x)