What is expand (uy+y)(udy+ydu) ?

The solution to expand (uy+y)(udy+ydu) is u^2ydy+uy^2du+uydy+y^2du

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expand (uy+y)(udy+ydu)

expand

(u y + y) (u d y + y d u)

u^{2} y d y + u y^{2} d u + u y d y + y^{2} d u

Solution steps

(u y + y) (u d y + y d u)

Apply FOIL method:

(a + b) (c + d) = a c + a d + b c + b d

a = u y, b = y, c = u d y, d = y d u

= u y u d y + u yy d u + y u d y + yy d u

= uu y d y + u yy d u + u y d y + yy d u

Simplify

uu y d y + u yy d u + u y d y + yy d u : u^{2} y d y + u y^{2} d u + u y d y + y^{2} d u

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

(8, - 2) y (2, 6)

(a e_{0}^{2} + ab e_{0}^{3})^{3}

\frac{2 ( 3 x ^{8} - 12 x ^{4} + 1 )}{( x ^{4} + 1 ) ^{3}}

(x^{2} + 4 x - 5)^{5}

\frac{( ( 2 π - 80 ) x + 1260 )}{9}

What is expand (uy+y)(udy+ydu) ?
The solution to expand (uy+y)(udy+ydu) is u^2ydy+uy^2du+uydy+y^2du