What is expand (xcos(x)+sin(x))^2 ?

The solution to expand (xcos(x)+sin(x))^2 is x^2cos^2(x)+xsin(2x)+sin^2(x)

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expand (xcos(x)+sin(x))^2

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

(x cos (x))^{2} + 2 x cos (x) sin (x) + sin^{2} (x) : x^{2} cos^{2} (x) + x sin (2 x) + sin^{2} (x)

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

\frac{4 e ^{- 3 t}}{( s - 3 ) ( s + 1 )}

(2 x + \frac{1}{x ^{2}}) (5 - x) (2 x^{5} + 1)^{3}

\frac{2 ( - 4 x - 12 )}{x ^{2} - 12 x + 36}

\frac{3 ( 15 + 7 5 )}{4}

\frac{2 ( 7 \cdot 7 ^{\frac{1}{2}} - 3 \cdot 3 ^{\frac{1}{2}} )}{9 \cdot 3 ^{\frac{1}{2}}}

What is expand (xcos(x)+sin(x))^2 ?
The solution to expand (xcos(x)+sin(x))^2 is x^2cos^2(x)+xsin(2x)+sin^2(x)