(6b^3+6-b^4)-(8b^3-6b^4+2)

Jasonbradley

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Jun 16, 2024

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Simplifying Polynomial Expressions

This article will guide you through the process of simplifying the polynomial expression (6b^3+6-b^4)-(8b^3-6b^4+2).

Understanding the Steps

1. 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.

2. 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 step-by-step:

1. Distribute the negative sign:

   (6b^3 + 6 - b^4) - (8b^3 - 6b^4 + 2) 
   = 6b^3 + 6 - b^4 - 8b^3 + 6b^4 - 2
   

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+6-b^4)-(8b^3-6b^4+2) is 5b^4 - 2b^3 + 4.