%2B(2x%5E2%2B5x-5).jpeg "(4x^2-10x)+(2x^2+5x-5)")
Simplifying Algebraic Expressions: A Step-by-Step Guide
This article will guide you through the process of simplifying the algebraic expression (4x² - 10x) + (2x² + 5x - 5).
Understanding the Expression
The expression consists of two sets of terms enclosed in parentheses. Each set contains terms with variables (x) and constants.
- (4x² - 10x): This set includes a term with x² and a term with x.
- (2x² + 5x - 5): This set includes a term with x², a term with x, and a constant term.
Simplifying the Expression
To simplify the expression, we need to combine like terms. Like terms are terms that have the same variable and exponent. Here's how to do it:
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Remove the parentheses: Since we are adding the two sets, the parentheses are not necessary. We can rewrite the expression as: 4x² - 10x + 2x² + 5x - 5
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Combine like terms:
- x² terms: 4x² + 2x² = 6x²
- x terms: -10x + 5x = -5x
- Constant term: -5
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Write the simplified expression: 6x² - 5x - 5
The Simplified Expression
Therefore, the simplified form of the expression (4x² - 10x) + (2x² + 5x - 5) is 6x² - 5x - 5.
Key Points to Remember
- Combine like terms: Only terms with the same variable and exponent can be combined.
- Order of operations: Remember to follow the order of operations (PEMDAS/BODMAS) while simplifying expressions.
- Practice makes perfect: Practice simplifying algebraic expressions regularly to become proficient.