What is expand (xe^x-e)(xe^x+e) ?

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

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expand (xe^x-e)(xe^x+e)

expand

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

e^{2 x} x^{2} - e^{2}

Solution steps

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

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

Apply Difference of Two Squares Formula:

(a - b) (a + b) = a^{2} - b^{2}

a = x e^{x}, b = e

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

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

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

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

8 + 2 (3 + 2) - (\frac{10}{2 = 3 ^{2}})

(- 7 x^{7} + 6 x^{9}) (3 e x + 8)

\frac{k ( 4 k + 5 ) + 1}{( 4 k + 1 ) ( 4 k + 5 )}

\frac{4}{5} (20 x - 10)

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