Simplify the product. Help Video HERE (6y2−3)(5y4+2)

Answer 1

To simplify the product (6y^(2) - 3)(5y^(4) + 2), you will need to use the distributive property, which states that for any real numbers a, b, and c:

a(b + c) = ab + ac

Now, apply the distributive property to the given expression:

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

Simplify each term:

= 30y^(6) + 12y^(2) - 15y^(4) - 6

Therefore, the simplified form of the product is 30y^(6) - 15y^(4) + 12y^(2) - 6.