What is expand (e^{2x}cos(3y))(1+2x) ?

The solution to expand (e^{2x}cos(3y))(1+2x) is e^{2x}cos(3y)+2e^{2x}xcos(3y)

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expand (e^{2x}cos(3y))(1+2x)

expand

(e^{2 x} cos (3 y)) (1 + 2 x)

e^{2 x} cos (3 y) + 2 e^{2 x} x cos (3 y)

Solution steps

(e^{2 x} cos (3 y)) (1 + 2 x)

Apply the distributive law:

a (b + c) = ab + a c

a = (e^{2 x} cos (3 y)), b = 1, c = 2 x

= (e^{2 x} cos (3 y)) \cdot 1 + (e^{2 x} cos (3 y)) \cdot 2 x

= 1 \cdot (e^{2 x} cos (3 y)) + 2 x (e^{2 x} cos (3 y))

Simplify

1 \cdot (e^{2 x} cos (3 y)) + 2 x (e^{2 x} cos (3 y)) : e^{2 x} cos (3 y) + 2 e^{2 x} x cos (3 y)

= e^{2 x} cos (3 y) + 2 e^{2 x} x cos (3 y)

u (- t - 1) e^{2 t}

\frac{( 1 - a ^{2} ) ^{2}}{a ^{2} - 2 a - 1}

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

(0.3 + 0.7 e^{t})^{5}

\frac{\partial}{\partial y} ((z) (yz + x ln (x + y)))

What is expand (e^{2x}cos(3y))(1+2x) ?
The solution to expand (e^{2x}cos(3y))(1+2x) is e^{2x}cos(3y)+2e^{2x}xcos(3y)