What is a simpler form of each product? (4x-6y^3)^2

Answer 1

To find a simpler form of the product (4x-6y^3)^2, we can expand using the formula for multiplying binomials:

(a-b)^2 = a^2 - 2ab + b^2

In this case, a = 4x and b = 6y^3. So, we have:

(4x-6y^3)^2 = (4x)^2 - 2(4x)(6y^3) + (6y^3)^2
= 16x^2 - 48xy^3 + 36y^6

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