What is expand 7cos(x^3-2x)(3x^2-2) ?

The solution to expand 7cos(x^3-2x)(3x^2-2) is 21x^2cos(x^3-2x)-14cos(x^3-2x)

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expand 7cos(x^3-2x)(3x^2-2)

expand

7 cos (x^{3} - 2 x) (3 x^{2} - 2)

21 x^{2} cos (x^{3} - 2 x) - 14 cos (x^{3} - 2 x)

Solution steps

7 cos (x^{3} - 2 x) (3 x^{2} - 2)

Apply the distributive law:

a (b - c) = ab - a c

7 cos (x^{3} - 2 x) (3 x^{2} - 2) = 7 cos (x^{3} - 2 x) \cdot 3 x^{2} - 7 cos (x^{3} - 2 x) \cdot 2

= 7 cos (x^{3} - 2 x) \cdot 3 x^{2} - 7 cos (x^{3} - 2 x) \cdot 2

Simplify

7 cos (x^{3} - 2 x) \cdot 3 x^{2} - 7 cos (x^{3} - 2 x) \cdot 2 : 21 x^{2} cos (x^{3} - 2 x) - 14 cos (x^{3} - 2 x)

= 21 x^{2} cos (x^{3} - 2 x) - 14 cos (x^{3} - 2 x)

3 + 1

(e^{7 x} + e^{- 7 x}) (e^{7 x} - e^{- 7 x})

f (n) = (1 1^{n + 1} - 4^{n + 1}) mod 7

\frac{2 x ^{3} + x ^{2} + 8 x + 6}{( x ^{2} + 4 ) ( x ^{2} + 1 )}

\frac{6 ( k + 126 ) ( - k ^{2} + 1001 k - 132930 )}{k - 4238}

What is expand 7cos(x^3-2x)(3x^2-2) ?
The solution to expand 7cos(x^3-2x)(3x^2-2) is 21x^2cos(x^3-2x)-14cos(x^3-2x)