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

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

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

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

11 (11 + x 33)

6 (2 x - 1)^{2} - 2 x \cdot cos (x^{2}) - (\frac{7}{3})^{\frac{4}{3}}

(\frac{s}{2} + 1) (\frac{s}{8} + 1)

\frac{( x ^{2} + 4 x + 2 )}{( ( x + 2 ) ( x - 1 ) )}

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

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