What is expand (e^xsin(x)+e^xcos(x))^2 ?

The solution to expand (e^xsin(x)+e^xcos(x))^2 is e^{2x}+e^{2x}sin(2x)

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expand (e^xsin(x)+e^xcos(x))^2

expand

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

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

Solution steps

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

Expand

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

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

Rewrite using trig identities

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

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

\frac{d}{d x} ((z) (x y + x z^{3} - 2 y z))

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

\frac{1}{( 1 + x + y + z ) ^{3}}

\frac{ln ( x y ^{2} )}{( z )}

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