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Popular >

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

Solution

expand

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

Solution

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

Solution steps

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

Apply the distributive law:

a (b - c) = ab - a c

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

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

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

2 yy = 2 y^{2}

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

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Frequently Asked Questions (FAQ)

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