What is expand-((1-cos(t))(-1+cos(t))) ?

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

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expand-((1-cos(t))(-1+cos(t)))

expand

- ((1 - cos (t)) (- 1 + cos (t)))

1 - 2 cos (t) + cos^{2} (t)

Solution steps

- ((1 - cos (t)) (- 1 + cos (t)))

Apply rule:

- (a) = - a

- ((1 - cos (t)) (- 1 + cos (t))) = - (1 - cos (t)) (- 1 + cos (t))

= - (1 - cos (t)) (- 1 + cos (t))

Apply FOIL method

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

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

Apply the distributive law:

- (- a + b) = a - b

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

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

(x^{2} + 1) (3 x + 4)

(s + 1) (s + 1 + j^{2} π) (s + 1 - j^{2} π)

\frac{x ( x + 3 )}{x - 4}

x (2 x - \frac{1}{3})^{5}

(z - \frac{5}{3}) (z - \frac{2}{3})

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