What is simplify-e^{-x}(xsin(y)-ycos(y)) ?

The solution to simplify-e^{-x}(xsin(y)-ycos(y)) is -(-ycos(y)+xsin(y))/(e^x)

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simplify-e^{-x}(xsin(y)-ycos(y))

simplify

- e^{- x} (x sin (y) - y cos (y))

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

Solution steps

- e^{- x} (x sin (y) - y cos (y))

Apply exponent rule:

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

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

Multiply fractions:

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

= - \frac{1 \cdot ( x sin ( y ) - y cos ( y ) )}{e ^{x}}

1 \cdot (x sin (y) - y cos (y)) = x sin (y) - y cos (y)

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

2 \cdot 3.14 \cdot (6.67 \cdot 1 0^{- 6}) \cdot 50 (2.67 - 1.17)

- 1.244 e^{- 1}

e^{- a x^{2}} \cdot e^{- a x^{2}}

e^{- e^{x}} \cdot e^{x}

What is simplify-e^{-x}(xsin(y)-ycos(y)) ?
The solution to simplify-e^{-x}(xsin(y)-ycos(y)) is -(-ycos(y)+xsin(y))/(e^x)