(x+10)(x+4) Answer

Jasonbradley

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Jun 16, 2024

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Expanding the Expression: (x + 10)(x + 4)

This article will explore the process of expanding the expression (x + 10)(x + 4) using the FOIL method.

Understanding the FOIL Method

The FOIL method is a mnemonic acronym used to remember the steps for multiplying 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 the FOIL Method

Let's apply the FOIL method to (x + 10)(x + 4):

1. First: x * x = x²
2. Outer: x * 4 = 4x
3. Inner: 10 * x = 10x
4. Last: 10 * 4 = 40

Now, we combine the terms:

x² + 4x + 10x + 40

Finally, simplify the expression by combining like terms:

x² + 14x + 40

Conclusion

By using the FOIL method, we successfully expanded the expression (x + 10)(x + 4) to x² + 14x + 40. This method is a straightforward way to multiply binomials and ensures that all terms are considered in the expansion.