What is expand (3cos(x)-2sin(x))^2 ?

The solution to expand (3cos(x)-2sin(x))^2 is 9cos^2(x)-12cos(x)sin(x)+4sin^2(x)

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expand (3cos(x)-2sin(x))^2

expand

(3 cos (x) - 2 sin (x))^{2}

9 cos^{2} (x) - 12 cos (x) sin (x) + 4 sin^{2} (x)

Solution steps

(3 cos (x) - 2 sin (x))^{2}

Apply Perfect Square Formula:

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

(3 cos (x) - 2 sin (x))^{2} = (3 cos (x))^{2} - 2 \cdot 3 cos (x) \cdot 2 sin (x) + (2 sin (x))^{2}

= (3 cos (x))^{2} - 2 \cdot 3 cos (x) \cdot 2 sin (x) + (2 sin (x))^{2}

Simplify

(3 cos (x))^{2} - 2 \cdot 3 cos (x) \cdot 2 sin (x) + (2 sin (x))^{2} : 9 cos^{2} (x) - 12 cos (x) sin (x) + 4 sin^{2} (x)

= 9 cos^{2} (x) - 12 cos (x) sin (x) + 4 sin^{2} (x)

A (1, 3) y B (2, - 5)

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

\frac{x ^{3} ( 21 x ^{2} - 60 x + 40 )}{2}

A (A^{^{'}} + A B)

\frac{x ^{3}}{( e ^{5 x} - 1 ) ( x - 1 )}

What is expand (3cos(x)-2sin(x))^2 ?
The solution to expand (3cos(x)-2sin(x))^2 is 9cos^2(x)-12cos(x)sin(x)+4sin^2(x)