Question

Multiply the binomials and simplif (a+2)(a+3)

Answer 1

To multiply the binomials (a+2)(a+3) and simplify the result, you can use the distributive property, also known as the FOIL method (First, Outer, Inner, Last). Here's how it works:

(a + 2)(a + 3)

First: Multiply the first terms in each binomial:

a * a = a^2

Outer: Multiply the outer terms:

a * 3 = 3a

Inner: Multiply the inner terms:

2 * a = 2a

Last: Multiply the last terms in each binomial:

2 * 3 = 6

Now, combine all these results:

a^2 + 3a + 2a + 6

Combine like terms:

a^2 + (3a + 2a) + 6

a^2 + 5a + 6

So, (a+2)(a+3) simplifies to a^2 + 5a + 6.

Explanation: