What is expand sin(6x)(sin(10x)+sin(6x)) ?

The solution to expand sin(6x)(sin(10x)+sin(6x)) is sin(6x)sin(10x)+sin^2(6x)

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expand sin(6x)(sin(10x)+sin(6x))

expand

sin (6 x) (sin (10 x) + sin (6 x))

sin (6 x) sin (10 x) + sin^{2} (6 x)

Solution steps

sin (6 x) (sin (10 x) + sin (6 x))

Apply the distributive law:

a (b + c) = ab + a c

sin (6 x) (sin (10 x) + sin (6 x)) = sin (6 x) sin (10 x) + sin (6 x) sin (6 x)

= sin (6 x) sin (10 x) + sin (6 x) sin (6 x)

Simplify

sin (6 x) sin (6 x) : sin^{2} (6 x)

= sin (6 x) sin (10 x) + sin^{2} (6 x)

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What is expand sin(6x)(sin(10x)+sin(6x)) ?
The solution to expand sin(6x)(sin(10x)+sin(6x)) is sin(6x)sin(10x)+sin^2(6x)