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

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

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

expand

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

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

Solution steps

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

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

Apply the distributive law:

a (b - c) = ab - a c

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

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

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

Multiply:

1 \cdot e^{x^{2}} = e^{x^{2}}

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

\frac{( n - 2 ) ( n - 1 )}{2}

\frac{5 ( x - 2 )}{x ^{2}}

2 (\frac{1}{2} - 3)

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

9^{2} - 100

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