What is expand 2x(e^{-2x}+3) ?

The solution to expand 2x(e^{-2x}+3) is 2e^{-2x}x+6x

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expand 2x(e^{-2x}+3)

expand

2 x (e^{- 2 x} + 3)

2 e^{- 2 x} x + 6 x

Solution steps

2 x (e^{- 2 x} + 3)

Apply the distributive law:

a (b + c) = ab + a c

a = 2 x, b = e^{- 2 x}, c = 3

= 2 x e^{- 2 x} + 2 x \cdot 3

= 2 e^{- 2 x} x + 2 \cdot 3 x

Multiply the numbers:

2 \cdot 3 = 6

= 2 e^{- 2 x} x + 6 x

(x - 4 - 3)^{2}

\frac{x}{( x + 4 ) ^{2}}

\frac{( 56 + r ) \times ( 9 + r )}{2}

1 + (\frac{a ( d \cdot x + e )}{x + a \cdot b})

\frac{d}{d r} ((z (r, x, y)) (x^{2} - y^{2}))

What is expand 2x(e^{-2x}+3) ?
The solution to expand 2x(e^{-2x}+3) is 2e^{-2x}x+6x