-(6x-2).jpeg "(8x^2+10)-(6x-2)")
Simplifying the Expression (8x^2 + 10) - (6x - 2)
This article will guide you through the process of simplifying the algebraic expression (8x² + 10) - (6x - 2).
Understanding the Expression
The expression involves:
- Variables: The variable 'x' represents an unknown value.
- Coefficients: Numbers multiplying the variables, such as 8 in 8x² and 6 in 6x.
- Constants: Numbers without any variables, such as 10 and 2.
- Parentheses: They indicate grouping and order of operations.
Simplifying the Expression
To simplify this expression, we'll follow these steps:
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Distribute the negative sign: The minus sign in front of the second set of parentheses means we need to multiply each term inside the parentheses by -1: (8x² + 10) + (-1)(6x) + (-1)(-2)
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Simplify: (8x² + 10) - 6x + 2
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Combine like terms: We can combine the constant terms: 8x² - 6x + 12
Final Result
The simplified expression is 8x² - 6x + 12.
Key Points
- Order of Operations: Remember to follow the order of operations (PEMDAS/BODMAS) when simplifying expressions.
- Combining Like Terms: Only terms with the same variable and exponent can be combined.
By understanding the basic principles of algebraic simplification, you can confidently manipulate and simplify expressions like this one.