What is expand dy((1/(1-y))-1) ?

The solution to expand dy((1/(1-y))-1) is (1/(1-y))dy-1*dy

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expand dy((1/(1-y))-1)

expand

d y ((\frac{1}{1 - y}) - 1)

(\frac{1}{1 - y}) d y - 1 \cdot d y

Solution steps

d y ((\frac{1}{1 - y}) - 1)

Apply the distributive law:

a (b - c) = ab - a c

a = d y, b = (\frac{1}{1 - y}), c = 1

= d y (\frac{1}{1 - y}) - d y \cdot 1

= (\frac{1}{1 - y}) d y - 1 \cdot d y

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What is expand dy((1/(1-y))-1) ?
The solution to expand dy((1/(1-y))-1) is (1/(1-y))dy-1*dy