(a+3)(a+3) Answer

Jasonbradley

2 min read

·

Jun 16, 2024

17

Share

Expanding (a + 3)(a + 3)

The expression (a + 3)(a + 3) represents the multiplication of two identical binomials. To find the answer, we can use the FOIL method, which stands for:

• First: Multiply the first terms of each binomial.
• Outer: Multiply the outer terms of the binomials.
• Inner: Multiply the inner terms of the binomials.
• Last: Multiply the last terms of each binomial.

Let's apply this to our expression:

F: a * a = a² O: a * 3 = 3a I: 3 * a = 3a L: 3 * 3 = 9

Now, we add all the terms together: a² + 3a + 3a + 9

Finally, we combine the like terms:

a² + 6a + 9

Therefore, the expanded form of (a + 3)(a + 3) is a² + 6a + 9.

Note: (a + 3)(a + 3) is also equivalent to (a + 3)². This form highlights that the expression is a perfect square trinomial, which is a trinomial resulting from squaring a binomial.