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

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Answer 1 · 2016-11-28T23:47:44

$-15x^3y - 3x^2y^3$

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

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

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

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

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

$-15x^3y - 3x^2y^3$

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