(x+7)(x+9) Answer

less than a minute read Jun 17, 2024
(x+7)(x+9) Answer

Expanding the Expression (x+7)(x+9)

This article will explain how to expand the expression (x+7)(x+9) using the FOIL method.

What is FOIL?

FOIL is an acronym that stands for:

  • 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.

Expanding (x+7)(x+9) using FOIL

  1. First: (x) * (x) =
  2. Outer: (x) * (9) = 9x
  3. Inner: (7) * (x) = 7x
  4. Last: (7) * (9) = 63

Now we have: x² + 9x + 7x + 63

Finally, combine the like terms:

x² + 16x + 63

Conclusion

Therefore, the expanded form of (x+7)(x+9) is x² + 16x + 63. This method is a simple and straightforward way to expand binomials, and it is applicable to many algebraic expressions.

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