Simplifying Polynomial Expressions: (8x  4  4x²) + (7x²  9x  6)
This article will guide you through the process of simplifying the given polynomial expression: (8x  4  4x²) + (7x²  9x  6).
Understanding the Problem
The expression consists of two sets of terms enclosed in parentheses. To simplify, we need to combine like terms. Like terms are terms that have the same variable and exponent. For example, 8x and 9x are like terms because they both have the variable 'x' raised to the power of 1.
Steps to Simplify

Remove the parentheses: Since we are adding the two sets of terms, the parentheses don't affect the signs of the terms inside. We can simply rewrite the expression without them: 8x  4  4x² + 7x²  9x  6

Identify like terms:
 x² terms: 4x² + 7x²
 x terms: 8x  9x
 Constant terms: 4  6

Combine like terms:
 4x² + 7x² = 3x²
 8x  9x = x
 4  6 = 10

Write the simplified expression: 3x²  x  10
Final Answer
The simplified form of the polynomial expression (8x  4  4x²) + (7x²  9x  6) is 3x²  x  10.