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(2x-3)(3x+3)

less than a minute read Jun 16, 2024
(2x-3)(3x+3)

Expanding the Expression (2x-3)(3x+3)

This article will guide you through the process of expanding the expression (2x-3)(3x+3).

Understanding the Process

Expanding the expression means multiplying the terms inside the parentheses. We can use the FOIL method to accomplish this:

  • First: Multiply the first terms of each binomial.
  • Outer: Multiply the outer terms of each binomial.
  • Inner: Multiply the inner terms of each binomial.
  • Last: Multiply the last terms of each binomial.

Applying FOIL

Let's apply the FOIL method to our expression:

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

Combining Like Terms

Now, let's combine the like terms:

6x² + 6x - 9x - 9

Simplifying further:

6x² - 3x - 9

Conclusion

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

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