What is expand (cos(a)-2sin(b))^2 ?

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

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expand (cos(a)-2sin(b))^2

expand

(cos (a) - 2 sin (b))^{2}

cos^{2} (a) - 4 cos (a) sin (b) + 4 sin^{2} (b)

Solution steps

(cos (a) - 2 sin (b))^{2}

Apply Perfect Square Formula:

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

(cos (a) - 2 sin (b))^{2} = cos^{2} (a) - 2 cos (a) \cdot 2 sin (b) + (2 sin (b))^{2}

= cos^{2} (a) - 2 cos (a) \cdot 2 sin (b) + (2 sin (b))^{2}

Simplify

cos^{2} (a) - 2 cos (a) \cdot 2 sin (b) + (2 sin (b))^{2} : cos^{2} (a) - 4 cos (a) sin (b) + 4 sin^{2} (b)

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

27 m^{3} + 64 n^{3}

x^{3} + 2 x^{2} \cdot y - x - 2 y

(x y^{4})^{3}

(\frac{x ^{- 3}}{y ^{4}})^{- 5}

m + t \frac{1}{2} \cdot j \cdot (- \frac{3}{4}) \cdot j \cdot \frac{15}{65}

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