(2x-6)(2x-8) Express As A Trinomial

Jasonbradley

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Jun 16, 2024

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Expressing (2x-6)(2x-8) as a Trinomial

This problem involves expanding a product of two binomials to express it as a trinomial. Here's how to solve it:

Using the FOIL Method

The FOIL method is a helpful acronym to remember the steps for multiplying binomials:

• 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.

Let's apply this to our problem:

1. First: (2x)(2x) = 4x²
2. Outer: (2x)(-8) = -16x
3. Inner: (-6)(2x) = -12x
4. Last: (-6)(-8) = 48

Now, combine the terms:

4x² - 16x - 12x + 48

Finally, simplify by combining the like terms:

4x² - 28x + 48

Therefore, (2x-6)(2x-8) expressed as a trinomial is 4x² - 28x + 48.