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Popular >

expand y(2xy'(x)-y)

Solution

expand

y (2 x y^{'} (x) - y)

Solution

2 x yy' (x) - y^{2}

Solution steps

y (2 x y^{'} (x) - y)

Apply the distributive law:

a (b - c) = ab - a c

a = y, b = 2 x y^{'} (x), c = y

= y \cdot 2 x y^{^{'}} (x) - yy

= 2 x y y^{^{'}} (x) - yy

yy = y^{2}

= 2 x y y^{^{'}} (x) - y^{2}

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Frequently Asked Questions (FAQ)

What is expand y(2xy'(x)-y) ?
The solution to expand y(2xy'(x)-y) is 2xyy'(x)-y^2