What is expand cos(2x)(2cos(x)+1) ?

The solution to expand cos(2x)(2cos(x)+1) is 2cos(2x)cos(x)+cos(2x)

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expand cos(2x)(2cos(x)+1)

expand

cos (2 x) (2 cos (x) + 1)

2 cos (2 x) cos (x) + cos (2 x)

Solution steps

cos (2 x) (2 cos (x) + 1)

Apply the distributive law:

a (b + c) = ab + a c

cos (2 x) (2 cos (x) + 1) = cos (2 x) \cdot 2 cos (x) + cos (2 x) \cdot 1

= cos (2 x) \cdot 2 cos (x) + cos (2 x) \cdot 1

Simplify

cos (2 x) \cdot 2 cos (x) + cos (2 x) \cdot 1 : 2 cos (2 x) cos (x) + cos (2 x)

= 2 cos (2 x) cos (x) + cos (2 x)

\frac{3 ( - 3 + 33 )}{2} + 15

\frac{- y ^{2} + 2 y}{( y ^{2} - y + 1 ) ^{2}}

\frac{( x - 6 ) ( x - 2 )}{x ^{2} - 7 x + 5}

\frac{s ^{4} - 6 s ^{2} + 9 s - 8}{s \cdot ( s - 2 ) \cdot ( s ^{3} + 2 s ^{2} - s - 2 )}

(5 + cos (θ))^{2}

What is expand cos(2x)(2cos(x)+1) ?
The solution to expand cos(2x)(2cos(x)+1) is 2cos(2x)cos(x)+cos(2x)