%E2%88%92(2d%2B5).jpeg "(d2−d+5)−(2d+5)")
Simplifying the Expression: (d² - d + 5) - (2d + 5)
This article will guide you through simplifying the expression (d² - d + 5) - (2d + 5).
Understanding the Expression
The expression involves combining two sets of terms, with one being subtracted from the other. Here's a breakdown:
- (d² - d + 5): This is a trinomial (three terms) with a squared term, a linear term, and a constant.
- (2d + 5): This is a binomial (two terms) with a linear term and a constant.
Simplifying the Expression
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Distribute the negative sign: Since we are subtracting the entire binomial, we need to distribute the negative sign to each term inside the parentheses:
(d² - d + 5) - (2d + 5) = d² - d + 5 - 2d - 5
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Combine like terms: Identify terms with the same variable and exponent and combine their coefficients.
- d² term: Only one d² term, so it remains unchanged.
- d terms: -d - 2d = -3d
- Constant terms: 5 - 5 = 0
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Write the simplified expression: Combining all the simplified terms, we get:
d² - 3d
Final Result
The simplified expression of (d² - d + 5) - (2d + 5) is d² - 3d.