What is expand-cos(x)*6(2x+1)^2 ?

The solution to expand-cos(x)*6(2x+1)^2 is -24x^2cos(x)-24xcos(x)-6cos(x)

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expand-cos(x)*6(2x+1)^2

expand

- cos (x) \cdot 6 (2 x + 1)^{2}

- 24 x^{2} cos (x) - 24 x cos (x) - 6 cos (x)

Solution steps

- cos (x) \cdot 6 (2 x + 1)^{2}

= - 6 cos (x) (2 x + 1)^{2}

Expand

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

= - 6 cos (x) (4 x^{2} + 4 x + 1)

Apply the distributive law:

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

- 6 cos (x) (4 x^{2} + 4 x + 1) = - 6 cos (x) \cdot 4 x^{2} - 6 cos (x) \cdot 4 x - 6 cos (x) \cdot 1

= - 6 cos (x) \cdot 4 x^{2} - 6 cos (x) \cdot 4 x - 6 cos (x) \cdot 1

Simplify

- 6 cos (x) \cdot 4 x^{2} - 6 cos (x) \cdot 4 x - 6 cos (x) \cdot 1 : - 24 x^{2} cos (x) - 24 x cos (x) - 6 cos (x)

= - 24 x^{2} cos (x) - 24 x cos (x) - 6 cos (x)

(e^{0.5 x} - 2)^{2}

\frac{2}{( 2 - x ) ( x + 1 )}

8 x e^{- 0.4 x} + 8 (x - 7.556) e^{- 0.4 (x - 7.556)}

5^{k} \cdot ln (k + 1) \cdot (k + 1)

\frac{e ^{- s} + s}{s ( s - 6 ) ( s + 1 )}

What is expand-cos(x)*6(2x+1)^2 ?
The solution to expand-cos(x)*6(2x+1)^2 is -24x^2cos(x)-24xcos(x)-6cos(x)