(x+1)(x+8)

Jasonbradley

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Jun 16, 2024

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Expanding (x+1)(x+8)

In mathematics, expanding an expression often involves using the distributive property. This property states that multiplying a sum by a number is the same as multiplying each term of the sum by that number. Let's apply this to the expression (x+1)(x+8):

Using the FOIL method

The FOIL method is a mnemonic device used to remember the order of multiplication when expanding two binomials:

• First: Multiply the first terms of each binomial: x * x = x²
• Outer: Multiply the outer terms of the binomials: x * 8 = 8x
• Inner: Multiply the inner terms of the binomials: 1 * x = x
• Last: Multiply the last terms of each binomial: 1 * 8 = 8

Combining these terms, we get:

(x+1)(x+8) = x² + 8x + x + 8

Simplifying the Expression

Now we can combine the like terms:

x² + 8x + x + 8 = x² + 9x + 8

Conclusion

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