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

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

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

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

(3 x + \frac{\frac{6}{7}}{x})^{8}

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

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

\frac{x ^{2} + x}{( x - 4 ) ( x ^{2} + 9 )}

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

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