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(a+2)(a+4)

less than a minute read Jun 16, 2024
(a+2)(a+4)

Expanding the Expression (a + 2)(a + 4)

This article will guide you through expanding the expression (a + 2)(a + 4) using the FOIL method.

What is FOIL?

FOIL stands for First, Outer, Inner, Last. It is a mnemonic device to help remember how to multiply two binomials.

Expanding the Expression:

  1. First: Multiply the first terms of each binomial: a * a = a²
  2. Outer: Multiply the outer terms of the binomials: a * 4 = 4a
  3. Inner: Multiply the inner terms of the binomials: 2 * a = 2a
  4. Last: Multiply the last terms of the binomials: 2 * 4 = 8

Now, combine all the terms: a² + 4a + 2a + 8

Finally, simplify by combining like terms: a² + 6a + 8

Conclusion

Therefore, the expanded form of (a + 2)(a + 4) is a² + 6a + 8. By following the FOIL method, you can easily expand any two binomials.

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