# How do you find the following product (8y+ 3)^2?

Oct 25, 2016

#### Answer:

Use the FOIL method to get
$64 {y}^{2} + 48 y + 9$

#### Explanation:

The FOIL method is the easiest way to simplify any expressionxx which involve squaring binomials. First, I write it out like this:

$\left(8 y + 3\right) \times \left(8 y + 3\right)$

Next, use the FOIL method. Each letter represents the numbers you need to multiply
F: First numbers. $\text{ } 8 y \times 8 y = 64 {y}^{2}$
O: Outside numbers. $\text{ } 8 y \cdot 3 = 24 y$
I: Inside numbers. $\text{ } 8 y \cdot 3 = 24 y$
L: Last numbers. $\text{ } 3 \times 3 = 9$

Then, simplify. This usually involves adding the "O" and the "I" products together, resulting in the answer:

$64 {y}^{2} + 24 y + 24 y + 9$
$64 {y}^{2} + 48 y + 9$ = answer