%E2%88%92(3x2%2B2x).jpeg "(5x−5+5x2)−(3x2+2x)")
Simplifying Algebraic Expressions: (5x−5+5x2)−(3x2+2x)
This article will guide you through simplifying the algebraic expression (5x−5+5x2)−(3x2+2x).
Understanding the Expression
The expression contains several terms with variables and constants. It's crucial to understand the order of operations and how to combine like terms.
Steps to Simplify
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Distribute the negative sign: The minus sign before the second parenthesis means we multiply each term inside by -1. This gives us:
- 5x - 5 + 5x² - 3x² - 2x
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Combine like terms: Identify terms with the same variable and exponent. Combine the x² terms and the x terms:
- (5x² - 3x²) + (5x - 2x) - 5
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Simplify: Perform the arithmetic operations:
- 2x² + 3x - 5
Final Result
The simplified form of the expression (5x−5+5x2)−(3x2+2x) is 2x² + 3x - 5.
Conclusion
Simplifying algebraic expressions involves applying the order of operations and combining like terms. This process allows us to represent complex expressions in a more concise and understandable way.