What is the product of- 3xy and #(5x^2+ xy^ 2)#?

1 Answer
smendyka
Nov 28, 2016

#-15x^3y - 3x^2y^3#

Explanation:

A product is found by multiplying. Therefore to solve this problem we must multiply #-3xy# by each term in the parenthesis:

#(-3xy)*(5x^2 + xy^2) ->#

#(-15x*x^2*y) - (3x*x*y*y^2) ->#

#(-15x^1*x^2*y) - (3x^1*x^1*y^1*y^2) ->#

#(-15x^(1+2)y) - (3x^(1+1)y^(1+2)) ->#

#-15x^3y - 3x^2y^3#

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