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(3x-4y-2)(3x-4y-6)

2 min read Jun 16, 2024
(3x-4y-2)(3x-4y-6)

Expanding the Expression (3x-4y-2)(3x-4y-6)

This article will guide you through the process of expanding the expression (3x-4y-2)(3x-4y-6). We will use the FOIL method to achieve this.

Understanding FOIL

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

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

Applying FOIL to our Expression

Let's break down the expansion of (3x-4y-2)(3x-4y-6) using FOIL:

  1. First: (3x)(3x) = 9x²
  2. Outer: (3x)(-6) = -18x
  3. Inner: (-4y)(3x) = -12xy
  4. Inner: (-4y)(-6) = 24y
  5. Last: (-2)(-6) = 12

Combining the Terms

Now, we have to combine all the terms we obtained:

9x² - 18x - 12xy + 24y + 12

Final Expanded Expression

Therefore, the expanded form of (3x-4y-2)(3x-4y-6) is: 9x² - 18x - 12xy + 24y + 12.

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