(d2−d+5)−(2d+5)

2 min read Jun 16, 2024
(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

  1. 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

  2. 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
  3. 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.

Related Post