What is expand (2x*e^{x^2})*(x-1) ?

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

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expand (2xe^{x^2})(x-1)

expand

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

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

Solution steps

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

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

Apply the distributive law:

a (b - c) = ab - a c

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

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

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

Simplify

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

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

\frac{2 ( x + 1 )}{3 ( x + 2 )}

(r cos (θ) + r sin (θ) + x)^{2} r

(7, 67 + 5, 87 - 5, 780, 5) x (3, 56 + 1, 2)

3 ((5, - 3, 2) - 2 (1, 7, - 2))

x (x - ln (x))

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