Simplifying Polynomial Expressions
This article will guide you through the process of simplifying the polynomial expression (6b^3+6b^4)(8b^36b^4+2).
Understanding the Steps

Distribute the negative sign: The minus sign in front of the parentheses means we multiply each term inside the second set of parentheses by 1.

Combine like terms: After distributing the negative sign, we can combine terms with the same variable and exponent.
Simplifying the Expression
Let's break down the simplification process stepbystep:

Distribute the negative sign:
(6b^3 + 6  b^4)  (8b^3  6b^4 + 2) = 6b^3 + 6  b^4  8b^3 + 6b^4  2

Combine like terms:
(6b^3  8b^3) + (b^4 + 6b^4) + (6  2) = 2b^3 + 5b^4 + 4
Final Simplified Expression
Therefore, the simplified form of the polynomial expression (6b^3+6b^4)(8b^36b^4+2) is 5b^4  2b^3 + 4.