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(2x-3)(3x-3) As A Trinomial

less than a minute read Jun 16, 2024
(2x-3)(3x-3) As A Trinomial

Expanding (2x - 3)(3x - 3) into a Trinomial

This expression represents the product of two binomials, (2x - 3) and (3x - 3). To expand it into a trinomial, we can use the FOIL method.

FOIL 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.

Let's apply this to our expression:

  1. First: (2x) * (3x) = 6x²
  2. Outer: (2x) * (-3) = -6x
  3. Inner: (-3) * (3x) = -9x
  4. Last: (-3) * (-3) = 9

Now, we add all the terms together:

6x² - 6x - 9x + 9

Finally, we combine like terms:

6x² - 15x + 9

Therefore, the expanded form of (2x - 3)(3x - 3) as a trinomial is 6x² - 15x + 9.

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