Answer:
[tex]-3x^2 * x = -3x^3\\y * y = y^2[/tex]
[tex](-3x^2y)(5xy^2 + xy)\\[/tex]
Use F.O.I.L, (First Outer Inner Last) to multiply. Start with -3x^y * 5xy^2
Start with similar terms
[tex]-3x^2 * 5x = -15x^3\\y * y^2 = y^3\\Therefore,\\-15x^3y^2[/tex]
Move onto the xy portion of the problem
[tex]-3x^2y(xy)\\[/tex]
Start with similar terms
[tex]-3x^2 * x = -3x^3\\y * y = y^2\\Therefore,\\-3x^3y^2[/tex]
Combine the two together
[tex]-15x^3y^3 - 3x^3y^2\\[/tex]
The answer is Option A
