(d2−d+5)−(2d+5) In Standard Form

Jasonbradley

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Jun 16, 2024

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Simplifying Algebraic Expressions: (d² - d + 5) - (2d + 5)

This article will guide you through the process of simplifying the algebraic expression (d² - d + 5) - (2d + 5) and putting it in standard form.

Understanding the Steps

1. Distribute the negative sign: The minus sign in front of the parentheses means we multiply each term inside the second set of parentheses by -1.
2. Combine like terms: Identify terms with the same variable and exponent, then add or subtract their coefficients.
3. Arrange in standard form: Write the terms in descending order of their exponents, starting with the highest exponent.

Simplifying the Expression

Let's break down the simplification step by step:

1. Distribute the negative sign:

   (d² - d + 5) - (2d + 5) = d² - d + 5 - 2d - 5 
   

2. Combine like terms:

   d² - d - 2d + 5 - 5 = d² - 3d 
   

3. Standard form: The expression is already in standard form since it is arranged in descending order of exponents.

Final Answer

Therefore, the simplified form of (d² - d + 5) - (2d + 5) in standard form is d² - 3d.