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

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

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

expand

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

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

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

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

Simplify

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

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

f (7 s - 2) (s + 3) d s

\frac{( 3 a + 2 )}{( 2 a - 4 ) ( 3 )}

(cos (θ) +, θ) 2

e^{5} t (3 t - 2)^{2}

- 5 (- 6 + 3)

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