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Popular >

expand ux(udx+xdu)

Solution

expand

ux (u d x + x d u)

Solution

u^{2} x d x + u x^{2} d u

Solution steps

ux (u d x + x d u)

Apply the distributive law:

a (b + c) = ab + a c

a = ux, b = u d x, c = x d u

= uxu d x + uxx d u

= uux d x + uxx d u

Simplify

uux d x + uxx d u : u^{2} x d x + u x^{2} d u

= u^{2} x d x + u x^{2} d u

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Frequently Asked Questions (FAQ)

What is expand ux(udx+xdu) ?
The solution to expand ux(udx+xdu) is u^2xdx+ux^2du