(x+1)(x+3) Answer

Jasonbradley

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Jun 16, 2024

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Expanding (x+1)(x+3)

This expression represents the product of two binomials. To find the answer, we can use the FOIL method:

First: Multiply the first terms of each binomial:

• x * x = x²

Outer: Multiply the outer terms of the binomials:

• x * 3 = 3x

Inner: Multiply the inner terms of the binomials:

• 1 * x = x

Last: Multiply the last terms of each binomial:

• 1 * 3 = 3

Now, add all the terms together:

x² + 3x + x + 3

Finally, combine the like terms:

x² + 4x + 3

Therefore, the expanded form of (x+1)(x+3) is x² + 4x + 3.

Understanding the FOIL Method

The FOIL method is a mnemonic device that helps remember the steps involved in multiplying binomials. It stands for:

• 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

By following these steps systematically, you can accurately expand any binomial multiplication.