(x+7)(x+9) Answer

Jasonbradley

less than a minute read

·

Jun 17, 2024

17

Share

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) = x²
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.