Question

Perform the indicated operations and simplify.
(-6x^2y-10xy^2)(-8x^2y^3-4y^2)

Answer 1

Multiplying each member you get:

(-6x^2y)(-8x^2y^3)=48x^4y^4
(-6x^2y)(-4y^2)=24x^2y^3
(-10xy^2)(-8x^2y^3)=80x^3y^5
(-10xy^2)(-4y^2)=40xy^4

All this comes out to:

48x^4y^4+24x^2y^3+80x^3y^5+40xy^4 Factoring this out you get:

8xy^3(6x^3y+3x+10x^2y^2+5y)