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(2x+9)(3x-5) As A Trinomial

less than a minute read Jun 16, 2024
(2x+9)(3x-5) As A Trinomial

Expanding (2x+9)(3x-5) into a Trinomial

This article will guide you through the process of expanding the expression (2x+9)(3x-5) into a trinomial.

Understanding the Process

To expand this expression, we'll 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.

Expanding the Expression

  1. First: (2x) * (3x) = 6x²
  2. Outer: (2x) * (-5) = -10x
  3. Inner: (9) * (3x) = 27x
  4. Last: (9) * (-5) = -45

Now, combine the results: 6x² - 10x + 27x - 45

Simplifying to a Trinomial

Combine the like terms (-10x + 27x):

6x² + 17x - 45

Therefore, the expanded form of (2x+9)(3x-5) as a trinomial is 6x² + 17x - 45.

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