What is factor (-4x^2)(e^{-x^2-y^2})-2x ?

The solution to factor (-4x^2)(e^{-x^2-y^2})-2x is -2x(2e^{-x^2-y^2}x+1)

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factor (-4x^2)(e^{-x^2-y^2})-2x

factor

(- 4 x^{2}) (e^{- x^{2} - y^{2}}) - 2 x

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

Solution steps

(- 4 x^{2}) (e^{- x^{2} - y^{2}}) - 2 x

Remove parentheses:

(a) = a

= - 4 x^{2} e^{- x^{2} - y^{2}} - 2 x

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

= - 4 e^{- x^{2}} e^{- y^{2}} x^{2} - 2 x

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

x^{2} = xx

= - 4 xx e^{- xx} e^{- y^{2}} - 2 x

Rewrite as

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

Factor out common term

2 x

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

Refine

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

15 x^{2} + 5 x - 5 x^{3}

2 x^{2} - 7 - 9

(x^{2} - x) - 4

[t sin (Bt)]

x - 5 h 4 - 15 h 3 - 10 h 2

What is factor (-4x^2)(e^{-x^2-y^2})-2x ?
The solution to factor (-4x^2)(e^{-x^2-y^2})-2x is -2x(2e^{-x^2-y^2}x+1)