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

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Answer 1 · 2016-11-28T23:47:44

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

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

$(- 3 x y) \cdot (5 x^{2} + x y^{2}) \to$ $(-3xy)*(5x^2 + xy^2) ->$

$(- 15 x \cdot x^{2} \cdot y) - (3 x \cdot x \cdot y \cdot y^{2}) \to$ $(-15x*x^2*y) - (3x*x*y*y^2) ->$

$(- 15 x^{1} \cdot x^{2} \cdot y) - (3 x^{1} \cdot x^{1} \cdot y^{1} \cdot y^{2}) \to$ $(-15x^1*x^2*y) - (3x^1*x^1*y^1*y^2) ->$

$(- 15 x^{1 + 2} y) - (3 x^{1 + 1} y^{1 + 2}) \to$ $(-15x^(1+2)y) - (3x^(1+1)y^(1+2)) ->$

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

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