What is e^{-y}[-x(x+2y-2)] ?

The solution to e^{-y}[-x(x+2y-2)] is -(x(2y+x-2))/(e^y)

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simplify e^{-y}[-x(x+2y-2)]

simplify

e^{- y} [- x (x + 2 y - 2)]

- \frac{x ( 2 y + x - 2 )}{e ^{y}}

Solution steps

e^{- y} [- x (x + 2 y - 2)]

Apply exponent rule:

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

= \frac{1}{e ^{y}} [- x (2 y + x - 2)]

Remove parentheses:

(- a) = - a

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

Multiply fractions:

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

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

Multiply:

1 \cdot x = x

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

5000 e^{- 200}

(3 x^{4} y^{3}) (4 y^{2})

(a^{8} b^{3}) (a^{4} b)

6 z^{2} (4 z^{3})

(3 m + 2)^{2} (3 m - 2)^{2}

What is e^{-y}[-x(x+2y-2)] ?
The solution to e^{-y}[-x(x+2y-2)] is -(x(2y+x-2))/(e^y)