What is expand (9cos(x)-cos(9x)*9)^2 ?

The solution to expand (9cos(x)-cos(9x)*9)^2 is 81cos^2(x)-162cos(x)cos(9x)+81cos^2(9x)

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expand (9cos(x)-cos(9x)*9)^2

expand

(9 cos (x) - cos (9 x) \cdot 9)^{2}

81 cos^{2} (x) - 162 cos (x) cos (9 x) + 81 cos^{2} (9 x)

Solution steps

(9 cos (x) - cos (9 x) \cdot 9)^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(9 cos (x) - cos (9 x) \cdot 9)^{2} = (9 cos (x))^{2} - 2 \cdot 9 cos (x) cos (9 x) \cdot 9 + (cos (9 x) \cdot 9)^{2}

= (9 cos (x))^{2} - 2 \cdot 9 cos (x) cos (9 x) \cdot 9 + (cos (9 x) \cdot 9)^{2}

Simplify

(9 cos (x))^{2} - 2 \cdot 9 cos (x) cos (9 x) \cdot 9 + (cos (9 x) \cdot 9)^{2} : 81 cos^{2} (x) - 162 cos (x) cos (9 x) + 81 cos^{2} (9 x)

= 81 cos^{2} (x) - 162 cos (x) cos (9 x) + 81 cos^{2} (9 x)

\frac{( 4 a ^{x} + b ^{x} ) ^{2}}{4}

\frac{x ^{3} - 36 x}{( x + 1 ) ^{2}}

(n + 2)!

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

\frac{\frac{d}{d t} ( e ( 1 - e ^{n} ) )}{1 - e}

What is expand (9cos(x)-cos(9x)*9)^2 ?
The solution to expand (9cos(x)-cos(9x)*9)^2 is 81cos^2(x)-162cos(x)cos(9x)+81cos^2(9x)