What is the product of- 3xy and (5x^2+ xy^ 2)(5x2+xy2)?

1 Answer
Nov 28, 2016

-15x^3y - 3x^2y^315x3y3x2y3

Explanation:

A product is found by multiplying. Therefore to solve this problem we must multiply -3xy3xy by each term in the parenthesis:

(-3xy)*(5x^2 + xy^2) ->(3xy)(5x2+xy2)

(-15x*x^2*y) - (3x*x*y*y^2) ->(15xx2y)(3xxyy2)

(-15x^1*x^2*y) - (3x^1*x^1*y^1*y^2) ->(15x1x2y)(3x1x1y1y2)

(-15x^(1+2)y) - (3x^(1+1)y^(1+2)) ->(15x1+2y)(3x1+1y1+2)

-15x^3y - 3x^2y^315x3y3x2y3