-(2x%5E2-5x%2B1).jpeg "(3x^2-2x+5)-(2x^2-5x+1)")
Simplifying the Expression: (3x^2 - 2x + 5) - (2x^2 - 5x + 1)
This article will guide you through the steps of simplifying the algebraic expression (3x^2 - 2x + 5) - (2x^2 - 5x + 1).
Understanding the Problem
The given expression involves subtracting one polynomial from another. We can simplify this expression by applying the following steps:
- Distribute the negative sign: The negative sign in front of the second polynomial needs to be distributed to each term inside the parentheses.
- Combine like terms: After distributing the negative sign, we will have terms with the same variables and exponents. These terms can be combined by adding or subtracting their coefficients.
Step-by-Step Solution
Let's follow these steps to simplify the expression:
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Distribute the negative sign: (3x^2 - 2x + 5) - (2x^2 - 5x + 1) = 3x^2 - 2x + 5 - 2x^2 + 5x - 1
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Combine like terms: (3x^2 - 2x^2) + (-2x + 5x) + (5 - 1) = x^2 + 3x + 4
Final Answer
Therefore, the simplified form of the expression (3x^2 - 2x + 5) - (2x^2 - 5x + 1) is x^2 + 3x + 4.