How do you simplify the expression 5d² + 4d – 2d² + 3d – 4?

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Simplifying the Expression

To simplify the expression 5d² + 4d – 2d² + 3d – 4, we will follow the steps below:

Step 1: Group Like Terms

First, we will identify and group the like terms:

  • Quadratic terms: 5d² and -2d²
  • Linear terms: 4d and 3d
  • Constant term: -4

Step 2: Combine the Like Terms

Now, we will combine these grouped terms:

  • For the quadratic terms: 5d² – 2d² = 3d²
  • For the linear terms: 4d + 3d = 7d

Step 3: Put It All Together

After combining the like terms, we now have:

3d² + 7d – 4

Final Expression

The simplified form of the expression 5d² + 4d – 2d² + 3d – 4 is:

3d² + 7d – 4

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