What is simplify-x^2(2x^2-3)e^{-x^2} ?

The solution to simplify-x^2(2x^2-3)e^{-x^2} is -(x^2(2x^2-3))/(e^{x^2)}

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simplify-x^2(2x^2-3)e^{-x^2}

simplify

- x^{2} (2 x^{2} - 3) e^{- x^{2}}

- \frac{x ^{2} ( 2 x ^{2} - 3 )}{e ^{x^{2}}}

Solution steps

- x^{2} (2 x^{2} - 3) e^{- x^{2}}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= - \frac{1}{e ^{x^{2}}} x^{2} (2 x^{2} - 3)

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= - \frac{1 \cdot x ^{2} ( 2 x ^{2} - 3 )}{e ^{x^{2}}}

Multiply:

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

= - \frac{x ^{2} ( 2 x ^{2} - 3 )}{e ^{x^{2}}}

\frac{1}{3}^{2}

2 - 3 \cdot 2 + 3

(3 y)^{2}

What is simplify-x^2(2x^2-3)e^{-x^2} ?
The solution to simplify-x^2(2x^2-3)e^{-x^2} is -(x^2(2x^2-3))/(e^{x^2)}