What is expand (cos(3t)-1/3 cos^3(3t))cos(3t) ?

The solution to expand (cos(3t)-1/3 cos^3(3t))cos(3t) is cos^2(3t)-1/3 cos^4(3t)

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expand (cos(3t)-1/3 cos^3(3t))cos(3t)

expand

(cos (3 t) - \frac{1}{3} cos^{3} (3 t)) cos (3 t)

cos^{2} (3 t) - \frac{1}{3} cos^{4} (3 t)

Solution steps

(cos (3 t) - \frac{1}{3} cos^{3} (3 t)) cos (3 t)

= cos (3 t) (cos (3 t) - \frac{1}{3} cos^{3} (3 t))

Apply the distributive law:

a (b - c) = ab - a c

cos (3 t) (cos (3 t) - \frac{1}{3} cos^{3} (3 t)) = cos (3 t) cos (3 t) - cos (3 t) \frac{1}{3} cos^{3} (3 t)

= cos (3 t) cos (3 t) - cos (3 t) \frac{1}{3} cos^{3} (3 t)

cos (3 t) cos (3 t) = cos^{2} (3 t)

cos (3 t) \frac{1}{3} cos^{3} (3 t) = \frac{1}{3} cos^{4} (3 t)

= cos^{2} (3 t) - \frac{1}{3} cos^{4} (3 t)

x^{\frac{4}{5}} (2 x - 2)

(2 u + \frac{2}{19} v)^{2}

lo g_{9} (16)

(x + 3)^{2} l e f t (2 x + 4)

A (0, 0, 1) B (1, 1, 2) C (0, - 1, - 1)

What is expand (cos(3t)-1/3 cos^3(3t))cos(3t) ?
The solution to expand (cos(3t)-1/3 cos^3(3t))cos(3t) is cos^2(3t)-1/3 cos^4(3t)