-(4-x%5E2-3x%5E3%2B11x).jpeg "(18-2x^3+9x)-(4-x^2-3x^3+11x)")
Simplifying the Expression: (18-2x^3+9x)-(4-x^2-3x^3+11x)
This article will guide you through the process of simplifying the expression: (18-2x^3+9x)-(4-x^2-3x^3+11x).
Step 1: Distribute the Negative Sign
First, we need to distribute the negative sign in front of the second set of parentheses. This means multiplying each term inside the parentheses by -1:
(18-2x^3+9x) + (-1)(4-x^2-3x^3+11x)
This simplifies to:
18 - 2x^3 + 9x - 4 + x^2 + 3x^3 - 11x
Step 2: Combine Like Terms
Now, we can combine the terms with the same variables and exponents.
- x^3 terms: -2x^3 + 3x^3 = x^3
- x^2 terms: + x^2 (only one term)
- x terms: 9x - 11x = -2x
- Constant terms: 18 - 4 = 14
Step 3: Write the Simplified Expression
Finally, combining all the simplified terms, we get the simplified expression:
x^3 + x^2 - 2x + 14
Therefore, the simplified form of the given expression (18-2x^3+9x)-(4-x^2-3x^3+11x) is x^3 + x^2 - 2x + 14.