What is expand (a-b-ccos(x))^2 ?

The solution to expand (a-b-ccos(x))^2 is a^2-2ab-2accos(x)+b^2+c^2cos^2(x)+2bccos(x)

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expand (a-b-ccos(x))^2

expand

(a - b - c cos (x))^{2}

a^{2} - 2 ab - 2 a c cos (x) + b^{2} + c^{2} cos^{2} (x) + 2 b c cos (x)

Solution steps

(a - b - c cos (x))^{2}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(a - b - c cos (x))^{2} = (a - b - c cos (x)) (a - b - c cos (x))

= (a - b - c cos (x)) (a - b - c cos (x))

Distribute parentheses

= aa + a (- b) + a (- c cos (x)) - ba - b (- b) - b (- c cos (x)) - c cos (x) a - c cos (x) (- b) - c cos (x) (- c cos (x))

Simplify

aa + a (- b) + a (- c cos (x)) - ba - b (- b) - b (- c cos (x)) - c cos (x) a - c cos (x) (- b) - c cos (x) (- c cos (x)) : a^{2} - 2 ab - 2 a c cos (x) + b^{2} + c^{2} cos^{2} (x) + 2 b c cos (x)

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

(x^{3} e^{9 x} + 2) x

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

- 3 sin (2) (x + 5)

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

0.45 (1 - e^{- (0.1) n})

What is expand (a-b-ccos(x))^2 ?
The solution to expand (a-b-ccos(x))^2 is a^2-2ab-2accos(x)+b^2+c^2cos^2(x)+2bccos(x)