Simplify the product. Help Video HERE (6y^2−3)(5y^4+2)

Answer 1

To simplify the product (6y^2 - 3)(5y^4 + 2), we first need to use the distributive property to multiply each term in the first polynomial (6y^2 - 3) by each term in the second polynomial (5y^4 + 2).

(6y^2)(5y^4) + (6y^2)(2) + (-3)(5y^4) + (-3)(2)

30y^6 + 12y^2 - 15y^4 - 6

Now, combine like terms:

30y^6 - 15y^4 + 12y^2 - 6

So, the simplified product is 30y^6 - 15y^4 + 12y^2 - 6.