What is xe^x(e^x(x^2-1)^2) ?

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

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simplify xe^x(e^x(x^2-1)^2)

simplify

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

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

Solution steps

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

Apply exponent rule:

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

e^{x} e^{x} = e^{x + x}

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

Add similar elements:

x + x = 2 x

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

e^{- \frac{x π}{1 - x ^{2}}} \cdot 100

\frac{1}{2 π} e^{- \frac{0. 3 ^{2}}{2}}

(\frac{3 ^{n + 1}}{2 ^{n}} + \frac{2 ^{n + 1}}{3 ^{n}} - 5)^{- 1}

- lo g_{10} (1.8) 1 0^{- 4}

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