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(5d^2+8d+1)-(2d^2+3d-1)

2 min read Jun 16, 2024
(5d^2+8d+1)-(2d^2+3d-1)

Simplifying Expressions: (5d^2+8d+1)-(2d^2+3d-1)

This article will guide you through the process of simplifying the expression (5d^2+8d+1)-(2d^2+3d-1).

Understanding the Steps

To simplify this expression, we will follow these steps:

  1. Distribute the negative sign: The minus sign before the second set of parentheses means we multiply each term inside the second set of parentheses by -1.
  2. Combine like terms: After distributing the negative sign, we combine terms with the same variable and exponent.

Simplifying the Expression

Let's break down the process:

  1. Distribute the negative sign: (5d^2 + 8d + 1) + (-1 * 2d^2) + (-1 * 3d) + (-1 * -1)

  2. Simplify: 5d^2 + 8d + 1 - 2d^2 - 3d + 1

  3. Combine like terms: (5d^2 - 2d^2) + (8d - 3d) + (1 + 1)

  4. Simplify further: 3d^2 + 5d + 2

Final Result

Therefore, the simplified form of the expression (5d^2+8d+1)-(2d^2+3d-1) is 3d^2 + 5d + 2.

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