What is expand 2(cos(x)-1)^2 ?

The solution to expand 2(cos(x)-1)^2 is 2cos^2(x)-4cos(x)+2

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expand 2(cos(x)-1)^2

expand

2 (cos (x) - 1)^{2}

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

Solution steps

2 (cos (x) - 1)^{2}

Expand

(cos (x) - 1)^{2} : cos^{2} (x) - 2 cos (x) + 1

= 2 (cos^{2} (x) - 2 cos (x) + 1)

Apply the distributive law:

m (a + b + c) = ma + mb + m c

2 (cos^{2} (x) - 2 cos (x) + 1) = 2 cos^{2} (x) + 2 (- 2 cos (x)) + 2 \cdot 1

= 2 cos^{2} (x) + 2 (- 2 cos (x)) + 2 \cdot 1

Simplify

2 cos^{2} (x) + 2 (- 2 cos (x)) + 2 \cdot 1 : 2 cos^{2} (x) - 4 cos (x) + 2

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

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

- 3 (7 + 5)

(x + 2)^{2} (x - 2)

(2 cos (x) - 2) (2 sin (x) + 2)

(1 - p + p \times e^{t})^{3}

What is expand 2(cos(x)-1)^2 ?
The solution to expand 2(cos(x)-1)^2 is 2cos^2(x)-4cos(x)+2