Question

Drag each tile to the table to multiply (6x-y)(2x-y_2).

a) 12x^2 - 6xy - 2xy^2 + y^3
b) 12x^2 - 6xy + 2xy^2 - y^3
c) 12x^2 - 6xy + 2xy^2 + y^3
d) 12x^2 - 6xy - 2xy^2 - y^3

Answer 1

To multiply the expressions (6x-y)(2x-y^2), we use the distributive property. The simplified result is 12x^2 - 6xy^2 - 2xy + y^3.

Step-by-step explanation:

To multiply the expressions (6x-y)(2x-y^2), we use the distributive property. We multiply each term in the first expression by each term in the second expression.

Applying the distributive property, we get:

(6x-y)(2x-y^2) = 6x imes 2x - 6x imes y^2 - y imes 2x + y imes y^2

This simplifies to:

12x^2 - 6xy^2 - 2xy + y^3