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(8p-2)(6p+2)

2 min read Jun 16, 2024
(8p-2)(6p+2)

Expanding the Expression: (8p - 2)(6p + 2)

This article will guide you through the process of expanding the given expression, (8p - 2)(6p + 2), using the FOIL method.

Understanding FOIL

FOIL stands for First, Outer, Inner, Last, and it's a mnemonic used to remember the steps for multiplying two binomials. Let's break down the steps:

1. First: Multiply the first terms of each binomial:

  • (8p) * (6p) = 48p²

2. Outer: Multiply the outer terms of the binomials:

  • (8p) * (2) = 16p

3. Inner: Multiply the inner terms of the binomials:

  • (-2) * (6p) = -12p

4. Last: Multiply the last terms of the binomials:

  • (-2) * (2) = -4

Combining the Terms

Now, we have the following terms:

  • 48p²
  • 16p
  • -12p
  • -4

Combine the like terms:

  • 48p² + 16p - 12p - 4

Simplify:

  • 48p² + 4p - 4

Conclusion

Therefore, the expanded form of the expression (8p - 2)(6p + 2) is 48p² + 4p - 4. Remember, the FOIL method is a handy tool for multiplying binomials and ensures that you cover all the necessary combinations.

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