(3x+1)(2x-1) Express As A Trinomial

2 min read Jun 16, 2024
(3x+1)(2x-1) Express As A Trinomial

Expanding (3x + 1)(2x - 1) to a Trinomial

This problem involves expanding a product of two binomials, which is a common algebraic operation. Here's how we can do it:

Understanding the FOIL Method

The FOIL method is a mnemonic acronym that helps us remember the steps for multiplying two 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.

Applying the FOIL Method

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

Combining Like Terms

Now, we combine the terms we got from the FOIL method:

6x² - 3x + 2x - 1

Simplify by combining the 'x' terms:

6x² - x - 1

Conclusion

Therefore, the expression (3x + 1)(2x - 1) can be expressed as the trinomial 6x² - x - 1.

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