(x+1)(x+8)=

Jasonbradley

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Jun 16, 2024

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Expanding the Expression (x+1)(x+8)

This expression represents the product of two binomials. To expand it, we can use the FOIL method, which stands for First, Outer, Inner, Last.

Steps to Expand the Expression:

1. First: Multiply the first terms of each binomial: (x) * (x) = x²

2. Outer: Multiply the outer terms of the binomials: (x) * (8) = 8x

3. Inner: Multiply the inner terms of the binomials: (1) * (x) = x

4. Last: Multiply the last terms of each binomial: (1) * (8) = 8

5. Combine all the terms: x² + 8x + x + 8

6. Simplify by combining like terms: x² + 9x + 8

Therefore, the expanded form of (x+1)(x+8) is x² + 9x + 8.

Understanding the Result

This expanded form is a quadratic expression. It represents a parabola when graphed. The expression can be used in various mathematical applications, such as solving equations, finding roots, or analyzing the behavior of functions.