what is a simpler form of each product

Question

(4x-6y^3)^2

Answer 1

A simpler form of the product (4x-6y^3)^2 can be found by expanding the expression using the distributive property and simplifying any like terms.

(4x-6y^3)^2 = (4x-6y^3)(4x-6y^3)

Using the FOIL method, we multiply the first terms, multiply the outer terms, multiply the inner terms, and multiply the last terms.

(4x-6y^3)(4x-6y^3) = 16x^2 - 24xy^3 - 24xy^3 + 36y^6

Combining like terms, we have:

16x^2 - 48xy^3 + 36y^6

Thus, a simpler form of the product (4x-6y^3)^2 is 16x^2 - 48xy^3 + 36y^6.