(x+8)(x+9)

2 min read Jun 17, 2024

Expanding the Expression (x+8)(x+9)

This article will guide you through the process of expanding the expression (x+8)(x+9) using the FOIL method.

Understanding the FOIL Method

FOIL stands for First, Outer, Inner, Last. It's a mnemonic device that helps you remember the steps to multiply two binomials. Here's how it works:

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 to (x+8)(x+9)

First: x * x = x²
Outer: x * 9 = 9x
Inner: 8 * x = 8x
Last: 8 * 9 = 72

Now, we have the following terms: x² + 9x + 8x + 72

Combining Like Terms

The final step is to combine the like terms: 9x and 8x.

This gives us our expanded expression: x² + 17x + 72

Conclusion

Therefore, the expanded form of (x+8)(x+9) is x² + 17x + 72. This process demonstrates how the FOIL method can be applied to expand binomials and simplify expressions.