How do you simplify the expression 10x² + 8x + 4x² – 8x + 5?

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To simplify the expression 10x² + 8x + 4x² – 8x + 5, you want to combine like terms. Let’s break it down step by step:

  • Identify like terms: In our expression, the like terms are:
    • The quadratic terms: 10x² and 4x²
    • The linear terms: 8x and -8x
    • The constant term: 5 (which does not have any other like term)

Now, we will combine the like terms:

  • For the quadratic terms:
    10x² + 4x² = 14x²
  • For the linear terms:
    8x – 8x = 0

Since the linear terms cancel each other out, we will only have the quadratic terms and the constant:

  • The simplified expression is: 14x² + 5

So, the final simplified version of the expression 10x² + 8x + 4x² – 8x + 5 is:

14x² + 5

This means that for any value of x, you can use the simplified expression 14x² + 5 instead of the original one to make calculations quicker and easier!

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