(x+2)(x+9) In Standard Form

Jasonbradley

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Jun 16, 2024

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Expanding and Simplifying (x + 2)(x + 9)

This expression represents the product of two binomials: (x + 2) and (x + 9). To write it in standard form, we need to expand and simplify it.

Using the FOIL Method

The FOIL method is a helpful mnemonic for remembering how to multiply binomials:

• 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.

Let's apply this to our expression:

• First: x * x = x²
• Outer: x * 9 = 9x
• Inner: 2 * x = 2x
• Last: 2 * 9 = 18

Now, we combine these terms:

x² + 9x + 2x + 18

Finally, we simplify by combining like terms:

x² + 11x + 18

This is the standard form of the expression (x + 2)(x + 9).

Conclusion

By applying the FOIL method, we successfully expanded and simplified the given expression to its standard form: x² + 11x + 18. This process is essential for understanding and manipulating algebraic expressions in various contexts.