%2B(3x%5E2-7x%2B9).jpeg "(2x^3+2x^2-2x+7)+(3x^2-7x+9)")
Simplifying Polynomial Expressions
This article will demonstrate how to simplify the expression (2x³+2x²-2x+7)+(3x²-7x+9).
Understanding the Expression
The expression consists of two polynomial terms:
- 2x³+2x²-2x+7
- 3x²-7x+9
These terms are enclosed in parentheses and connected by a plus sign, indicating that we need to add them together.
Combining Like Terms
To simplify the expression, we need to combine like terms. Like terms are terms that have the same variable and exponent.
1. Identify Like Terms:
- x³ terms: 2x³
- x² terms: 2x² + 3x²
- x terms: -2x - 7x
- Constant terms: 7 + 9
2. Combine the coefficients of each like term:
- x³ term: 2x³
- x² term: 5x²
- x term: -9x
- Constant term: 16
Simplified Expression
By combining like terms, we arrive at the simplified expression:
2x³ + 5x² - 9x + 16
Therefore, the simplified form of (2x³+2x²-2x+7)+(3x²-7x+9) is 2x³ + 5x² - 9x + 16.