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

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

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expand cos(x)(-cos(x)+1)

expand

cos (x) (- cos (x) + 1)

- cos^{2} (x) + cos (x)

Solution steps

cos (x) (- cos (x) + 1)

Apply the distributive law:

a (b + c) = ab + a c

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

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

Simplify

cos (x) (- cos (x)) + cos (x) \cdot 1 : - cos^{2} (x) + cos (x)

= - cos^{2} (x) + cos (x)

\frac{( x + 3 ) ^{2}}{x - 1}

\frac{1}{5 ( 10 x - 5 )}

\frac{( x + 2 ) ( x + 3 )}{( x - 3 ) ( x - 1 )}

6 (m + \frac{7}{12})^{2} - \frac{1}{24}

(x - i y)^{2} (x + i y)

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