What is expand (cos(t)-sin^2(t))^2 ?

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

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expand (cos(t)-sin^2(t))^2

expand

(cos (t) - sin^{2} (t))^{2}

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

Solution steps

(cos (t) - sin^{2} (t))^{2}

Apply Perfect Square Formula:

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

(cos (t) - sin^{2} (t))^{2} = cos^{2} (t) - 2 cos (t) sin^{2} (t) + (sin^{2} (t))^{2}

= cos^{2} (t) - 2 cos (t) sin^{2} (t) + (sin^{2} (t))^{2}

Simplify

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

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

(1 + t)^{2} - 2 cos (2 t) + 2 sin (3 t) - 4 e^{- 3 t}

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

\frac{\partial}{\partial x} ((z) (x^{2} + x y + y^{2}))

\frac{( 6 x - 5 ) ( x - 6 )}{x - 5}

\frac{( 2 + x ) ( 3 + 2 x ) ^{2}}{( 1.8 - 2 x ) ^{2} ( 1 - 2 x ) ^{2}}

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