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

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

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

expand

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

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

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

a = e^{x} cos (x), b = e^{x} cos (x), c = e^{x} sin (x)

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

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

Simplify

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

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

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

3 cos (t) sin (t) - (2 t - 5)^{2} sin (t) + 3 t

f (x) = \frac{1}{( x - 1 ) ^{5}}

- (x - 2) e^{2 x}

4 (w - 7 = 8)

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