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

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

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

expand

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

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

Solution steps

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

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

Apply the distributive law:

a (b - c) = ab - a c

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

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

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

Multiply:

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

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

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\frac{4 ( 1 - 3 x )}{( 3 x + 1 ) ^{3}}

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