Simplifying the Expression (8a  4a²)  (7a³  a)
This article will guide you through simplifying the expression (8a  4a²)  (7a³  a).
Understanding the Expression
The expression involves polynomials, which are expressions consisting of variables and constants combined using addition, subtraction, and multiplication. The variables can be raised to various powers (exponents).
Simplifying the Expression

Distribute the negative sign: The minus sign in front of the second set of parentheses means we need to multiply each term inside the parentheses by 1.
(8a  4a²)  (7a³  a) = 8a  4a²  7a³ + a

Combine like terms: Identify terms with the same variable and exponent. Combine their coefficients.
8a  4a²  7a³ + a = 7a³  4a² + (8a + a)
= 7a³  4a² + 9a
Final Simplified Expression
The simplified form of the expression (8a  4a²)  (7a³  a) is 7a³  4a² + 9a.
Key Takeaways
 Distributing negative signs is crucial when dealing with expressions involving parentheses.
 Combining like terms simplifies the expression and makes it easier to work with.
 Order of terms in the final expression is usually determined by descending order of exponents.