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(3b-4)(b+2)

less than a minute read Jun 16, 2024
(3b-4)(b+2)

Expanding (3b-4)(b+2)

This article will guide you through the process of expanding the expression (3b-4)(b+2) using the FOIL method.

Understanding FOIL

The FOIL method is a mnemonic acronym used to remember the steps involved in multiplying two binomials. It stands for:

  • First: Multiply the first terms of each binomial.
  • Outer: Multiply the outer terms of the binomials.
  • Inner: Multiply the inner terms of the binomials.
  • Last: Multiply the last terms of each binomial.

Applying FOIL to (3b-4)(b+2)

  1. First: (3b) * (b) = 3b²
  2. Outer: (3b) * (2) = 6b
  3. Inner: (-4) * (b) = -4b
  4. Last: (-4) * (2) = -8

Now we combine the results: 3b² + 6b - 4b - 8

Simplifying the Expression

Finally, we simplify the expression by combining like terms: 3b² + 2b - 8

Therefore, the expanded form of (3b-4)(b+2) is 3b² + 2b - 8.

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