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(x+2)(x+3) Answer

less than a minute read Jun 16, 2024
(x+2)(x+3) Answer

Expanding the Expression: (x+2)(x+3)

This expression involves multiplying two binomials. We can expand it using the FOIL method, which stands for First, Outer, Inner, Last.

Applying the FOIL Method

  1. First: Multiply the first terms of each binomial: x * x = x²

  2. Outer: Multiply the outer terms of the binomials: x * 3 = 3x

  3. Inner: Multiply the inner terms of the binomials: 2 * x = 2x

  4. Last: Multiply the last terms of each binomial: 2 * 3 = 6

Combining the Terms

Now, combine all the terms we obtained: x² + 3x + 2x + 6

Finally, combine the like terms (the terms with 'x'): x² + 5x + 6

Therefore, the expanded form of (x+2)(x+3) is x² + 5x + 6.

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