What is expand (-2cos(x)-4)^2 ?

The solution to expand (-2cos(x)-4)^2 is 4cos^2(x)+16cos(x)+16

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expand (-2cos(x)-4)^2

expand

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

4 cos^{2} (x) + 16 cos (x) + 16

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

(- 2 cos (x))^{2} - 2 (- 2 cos (x)) \cdot 4 + 4^{2} : 4 cos^{2} (x) + 16 cos (x) + 16

= 4 cos^{2} (x) + 16 cos (x) + 16

e^{- 3 (t - 3)} - e^{- 3 (t - 5)}

1 + \frac{K \cdot 885.4}{( s + 40 ) ( s ^{2} + 98 )}

- 3 (ln (5 x) + 1)

\frac{4000 ( s ^{2} + 4 s + 4 )}{s ( s + 10 ) ( s + 100 )}

\frac{10 ( 12 - 15 )}{3}

What is expand (-2cos(x)-4)^2 ?
The solution to expand (-2cos(x)-4)^2 is 4cos^2(x)+16cos(x)+16