simplfey the product

(7y+2)(y^2+8y+6)

7y^3 + 56y^2 + 42y + 2y^2 + 16y + 12 = 7y^3 + 58y^2 + 58y + 12

come again?

My apologies for the error in calculation. Let's simplify the product again:

(7y+2)(y^2+8y+6)

Expand the expression:
7y * (y^2+8y+6) + 2 * (y^2+8y+6)
= 7y^3 + 56y^2 + 42y + 2y^2 + 16y + 12
= 7y^3 + 58y^2 + 58y + 12

Therefore, the simplified form of the product (7y+2)(y^2+8y+6) is 7y^3 + 58y^2 + 58y + 12.