-(x%5E2%2B2x-9).jpeg "(2x^2+7x+10)-(x^2+2x-9)")
Simplifying the Expression: (2x^2+7x+10)-(x^2+2x-9)
This article will guide you through the process of simplifying the expression (2x^2+7x+10)-(x^2+2x-9).
Understanding the Expression
The expression involves two polynomials:
- (2x^2+7x+10): A quadratic trinomial with a leading coefficient of 2.
- (x^2+2x-9): Another quadratic trinomial with a leading coefficient of 1.
The operation between them is subtraction.
Simplifying the Expression
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Distribute the negative sign: Since we are subtracting the second polynomial, we distribute the negative sign to each term inside the parentheses:
(2x^2 + 7x + 10) - (x^2 + 2x - 9) = 2x^2 + 7x + 10 - x^2 - 2x + 9
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Combine like terms: Identify terms with the same variable and exponent and combine their coefficients:
(2x^2 - x^2) + (7x - 2x) + (10 + 9) = x^2 + 5x + 19
Solution
Therefore, the simplified expression for (2x^2+7x+10)-(x^2+2x-9) is x^2 + 5x + 19.