What is simplify-e^xe^{-x}2x(x+1)^2 ?

The solution to simplify-e^xe^{-x}2x(x+1)^2 is -2x(x+1)^2

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simplify-e^xe^{-x}2x(x+1)^2

simplify

- e^{x} e^{- x} 2 x (x + 1)^{2}

- 2 x (x + 1)^{2}

Solution steps

- e^{x} e^{- x} \cdot 2 x (x + 1)^{2}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{x} e^{- x} = e^{x - x}

= - e^{x - x} \cdot 2 x (x + 1)^{2}

Add similar elements:

x - x = 0

= - e^{0} \cdot 2 x (x + 1)^{2}

Apply rule

a^{0} = 1, a \neq = 0

e^{0} = 1

= - 1 \cdot 2 x (x + 1)^{2}

Multiply the numbers:

1 \cdot 2 = 2

= - 2 x (x + 1)^{2}

(2 a)^{2}

(2 x y) (x^{2} y^{3}) (2 y^{4})

- 2 x (0.5 x^{- 0.5})

1.8 2^{5} \cdot 16

3 \cdot 0.2 4^{- \frac{1}{2}}

What is simplify-e^xe^{-x}2x(x+1)^2 ?
The solution to simplify-e^xe^{-x}2x(x+1)^2 is -2x(x+1)^2