-(5x%5E2%2B4xy%2B1).jpeg "(2x^2+xy+14)-(5x^2+4xy+1)")
Simplifying Algebraic Expressions: (2x^2+xy+14)-(5x^2+4xy+1)
This article will guide you through the process of simplifying the algebraic expression: (2x^2+xy+14)-(5x^2+4xy+1).
Understanding the Problem
The expression involves subtracting two polynomials. We need to combine like terms to simplify the expression.
Step-by-Step Solution
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Distribute the negative sign: Since we're subtracting the second polynomial, we need to distribute the negative sign to each term inside the parentheses:
(2x^2 + xy + 14) - (5x^2 + 4xy + 1) = 2x^2 + xy + 14 - 5x^2 - 4xy - 1
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Combine like terms: Identify terms with the same variable and exponent, then combine their coefficients:
- x^2 terms: 2x^2 - 5x^2 = -3x^2
- xy terms: xy - 4xy = -3xy
- Constant terms: 14 - 1 = 13
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Write the simplified expression:
-3x^2 - 3xy + 13
Conclusion
By following the steps above, we have successfully simplified the given algebraic expression. The simplified form is -3x^2 - 3xy + 13. Remember to always pay close attention to the signs when combining like terms.