What is expand (3sin(x)-4cos(x))^2 ?

The solution to expand (3sin(x)-4cos(x))^2 is 9sin^2(x)-24cos(x)sin(x)+16cos^2(x)

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expand (3sin(x)-4cos(x))^2

expand

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

9 sin^{2} (x) - 24 cos (x) sin (x) + 16 cos^{2} (x)

Solution steps

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

Apply Perfect Square Formula:

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

(3 sin (x) - 4 cos (x))^{2} = (3 sin (x))^{2} - 2 \cdot 3 sin (x) \cdot 4 cos (x) + (4 cos (x))^{2}

= (3 sin (x))^{2} - 2 \cdot 3 sin (x) \cdot 4 cos (x) + (4 cos (x))^{2}

Simplify

(3 sin (x))^{2} - 2 \cdot 3 sin (x) \cdot 4 cos (x) + (4 cos (x))^{2} : 9 sin^{2} (x) - 24 cos (x) sin (x) + 16 cos^{2} (x)

= 9 sin^{2} (x) - 24 cos (x) sin (x) + 16 cos^{2} (x)

lo g_{10} (b) (\frac{x ^{2} y}{z ^{9}})

(2 + x - 4)^{2}

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

\frac{\partial}{\partial v} ((x) (- v + 2 u + 2))

- sin^{2} (x) (y + \frac{1}{z})^{2}

What is expand (3sin(x)-4cos(x))^2 ?
The solution to expand (3sin(x)-4cos(x))^2 is 9sin^2(x)-24cos(x)sin(x)+16cos^2(x)