(x-8)(x+4)

2 min read Jun 17, 2024

Expanding (x-8)(x+4)

This article will explain how to expand the expression (x-8)(x+4) using the FOIL method.

Understanding FOIL

FOIL is an acronym that stands for First, Outer, Inner, Last. It's a simple way to remember how to multiply 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 FOIL to (x-8)(x+4)

First: x * x = x²
Outer: x * 4 = 4x
Inner: -8 * x = -8x
Last: -8 * 4 = -32

Combining Terms

Now, we have: x² + 4x - 8x - 32

Finally, combine the like terms: x² - 4x - 32

Therefore, the expanded form of (x-8)(x+4) is x² - 4x - 32.

Conclusion

By applying the FOIL method, we successfully expanded the expression (x-8)(x+4) to x² - 4x - 32. This process is essential for simplifying and solving various algebraic equations and expressions.