What is expand cos^3(y)(2xsin(y)-cos^3(y)) ?

The solution to expand cos^3(y)(2xsin(y)-cos^3(y)) is 2xcos^3(y)sin(y)-cos^6(y)

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expand cos^3(y)(2xsin(y)-cos^3(y))

expand

cos^{3} (y) (2 x sin (y) - cos^{3} (y))

2 x cos^{3} (y) sin (y) - cos^{6} (y)

Solution steps

cos^{3} (y) (2 x sin (y) - cos^{3} (y))

Apply the distributive law:

a (b - c) = ab - a c

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

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

Simplify

cos^{3} (y) \cdot 2 x sin (y) - cos^{3} (y) cos^{3} (y) : 2 x cos^{3} (y) sin (y) - cos^{6} (y)

= 2 x cos^{3} (y) sin (y) - cos^{6} (y)

(- 2 5 h + 9 + 6) 5 h + 9

(25 - 3)^{2}

A (- 1, 3) B (2, 0) C (1, - 1)

(x + x y^{2}) d x + x^{2} y d y

(x - 25) (x - 5)

What is expand cos^3(y)(2xsin(y)-cos^3(y)) ?
The solution to expand cos^3(y)(2xsin(y)-cos^3(y)) is 2xcos^3(y)sin(y)-cos^6(y)