What is expand ((100-94cos(x))^2)/4 ?

The solution to expand ((100-94cos(x))^2)/4 is 2500-4700cos(x)+2209cos^2(x)

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expand ((100-94cos(x))^2)/4

expand

\frac{( 100 - 94 cos ( x ) ) ^{2}}{4}

2500 - 4700 cos (x) + 2209 cos^{2} (x)

Solution steps

\frac{( 100 - 94 cos ( x ) ) ^{2}}{4}

(100 - 94 cos (x))^{2} = 10000 - 18800 cos (x) + 8836 cos^{2} (x)

= \frac{10000 - 18800 cos ( x ) + 8836 cos ^{2} ( x )}{4}

Factor

10000 - 18800 cos (x) + 8836 cos^{2} (x) : 4 (2500 - 4700 cos (x) + 2209 cos^{2} (x))

= \frac{4 ( 2500 - 4700 cos ( x ) + 2209 cos ^{2} ( x ) )}{4}

Divide the numbers:

\frac{4}{4} = 1

= 2500 - 4700 cos (x) + 2209 cos^{2} (x)

- \frac{6 x}{( x ^{2} + 9 ) ^{2}}

\frac{2 - x}{( x + 4 ) ( x - 4 )}

6 (x + Δ x)^{2} - 8 (x + Δ x)

(\frac{( 3 y - 3 )}{2})^{2}

- \frac{269 e - 178}{192 ( e - 2 )}

What is expand ((100-94cos(x))^2)/4 ?
The solution to expand ((100-94cos(x))^2)/4 is 2500-4700cos(x)+2209cos^2(x)