%E2%88%92(2d%2B5)-in-standard-form.jpeg "(d2−d+5)−(2d+5) In Standard Form")
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
- 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.
- Combine like terms: Identify terms with the same variable and exponent, then add or subtract their coefficients.
- 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:
- Distribute the negative sign:
(d² - d + 5) - (2d + 5) = d² - d + 5 - 2d - 5 - Combine like terms:
d² - d - 2d + 5 - 5 = d² - 3d - 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.