Expanding the Expression (a + 3)(a - 2)
This expression involves multiplying two binomials. We can achieve this by applying the FOIL method, which stands for First, Outer, Inner, Last.
Here's how it works:
- First: Multiply the first terms of each binomial: a a = a²
- Outer: Multiply the outer terms of the binomials: a -2 = -2a
- Inner: Multiply the inner terms of the binomials: 3 a = 3a
- Last: Multiply the last terms of each binomial: 3 -2 = -6
Combining the results:
(a + 3)(a - 2) = a² - 2a + 3a - 6
Simplifying:
(a + 3)(a - 2) = a² + a - 6
Therefore, the expanded and simplified form of (a + 3)(a - 2) is a² + a - 6.