Multiply the following
(a+3) (a-2)
To multiply the expression (a + 3) (a - 2), we will use the distributive property:
(a + 3) (a - 2) = a(a) + a(-2) + 3(a) + 3(-2)
Now, let's simplify each term:
a(a) = a²
a(-2) = -2a
3(a) = 3a
3(-2) = -6
Combining the simplified terms, we have:
(a + 3) (a - 2) = a² - 2a + 3a - 6
Now, let's combine like terms:
a² - 2a + 3a - 6 = a² + a - 6
Therefore, (a + 3) (a - 2) simplifies to a² + a - 6.