-(3n%5E3%2B4n).jpeg "(4n-3n^3)-(3n^3+4n)")
Simplifying the Expression (4n - 3n³) - (3n³ + 4n)
This article will guide you through the process of simplifying the expression (4n - 3n³) - (3n³ + 4n).
Understanding the Expression
The expression consists of two sets of terms enclosed in parentheses. Let's break down each set:
-
(4n - 3n³): This set contains two terms:
- 4n: A term with a coefficient of 4 and variable 'n' raised to the power of 1.
- -3n³: A term with a coefficient of -3 and variable 'n' raised to the power of 3.
-
(3n³ + 4n): This set also contains two terms:
- 3n³: A term with a coefficient of 3 and variable 'n' raised to the power of 3.
- 4n: A term with a coefficient of 4 and variable 'n' raised to the power of 1.
Simplifying the Expression
-
Distribute the negative sign: The minus sign before the second set of parentheses indicates subtraction. We need to distribute this negative sign to each term within the second set:
(4n - 3n³) - (3n³ + 4n) = 4n - 3n³ - 3n³ - 4n
-
Combine like terms: Now, we combine the terms that have the same variable and exponent:
(4n - 4n) + (-3n³ - 3n³) = -6n³
Final Result
The simplified form of the expression (4n - 3n³) - (3n³ + 4n) is -6n³.