What is (4x^4-10x^2+2)e^{(-x^2)} ?

The solution to (4x^4-10x^2+2)e^{(-x^2)} is (4x^4-10x^2+2)/(e^{x^2)}

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simplify (4x^4-10x^2+2)e^{(-x^2)}

simplify

(4 x^{4} - 10 x^{2} + 2) e^{(- x^{2})}

\frac{4 x ^{4} - 10 x ^{2} + 2}{e ^{x^{2}}}

Solution steps

(4 x^{4} - 10 x^{2} + 2) e^{(- x^{2})}

Apply exponent rule:

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

= \frac{1}{e ^{x^{2}}} (4 x^{4} - 10 x^{2} + 2)

Multiply fractions:

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

= \frac{1 \cdot ( 4 x ^{4} - 10 x ^{2} + 2 )}{e ^{x^{2}}}

1 \cdot (4 x^{4} - 10 x^{2} + 2) = 4 x^{4} - 10 x^{2} + 2

= \frac{4 x ^{4} - 10 x ^{2} + 2}{e ^{x^{2}}}

\frac{e ^{x}}{e ^{1 + x}}

e^{- c x}

(93) (23)

What is (4x^4-10x^2+2)e^{(-x^2)} ?
The solution to (4x^4-10x^2+2)e^{(-x^2)} is (4x^4-10x^2+2)/(e^{x^2)}