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(2x-2)(3x+5)

2 min read Jun 16, 2024
(2x-2)(3x+5)

Expanding the Expression (2x-2)(3x+5)

This article will demonstrate how to expand the expression (2x-2)(3x+5) using the FOIL method.

Understanding the FOIL Method

FOIL stands for First, Outer, Inner, Last. It's a mnemonic device used to remember the steps for multiplying two binomials.

  1. First: Multiply the first terms of each binomial.
  2. Outer: Multiply the outer terms of each binomial.
  3. Inner: Multiply the inner terms of each binomial.
  4. Last: Multiply the last terms of each binomial.

Applying FOIL to (2x-2)(3x+5)

  1. First: (2x) * (3x) = 6x²
  2. Outer: (2x) * (5) = 10x
  3. Inner: (-2) * (3x) = -6x
  4. Last: (-2) * (5) = -10

Combining the Terms

Now, we combine the results of the FOIL method:

6x² + 10x - 6x - 10

Simplifying the Expression

Finally, we combine like terms to simplify the expression:

6x² + 4x - 10

Therefore, the expanded form of (2x-2)(3x+5) is 6x² + 4x - 10.

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