Find the product:

(x + y)(2x−5y + 3xy)

Consider the binomial x + y and the trinomial 2x−5y + 3xy.

Now, to get the product of above expressions x + y and 2x−5y + 3xy,we use the

distributive law i.e (x + y)×(2x−5y + 3xy) = x(2x-5y + 3xy) + y(2x-5y + 3xy)

= x(2x) + x(-5y) + x(3xy) + y(-5y) + y(3xy) = 2x²-5xy + 3x²y-5y² + 3xy²

Therefore , the product of x + y and 2x−5y + 3xy is 2x²-5y² + 3x²y + 3xy²-5xy