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

1 Answer
Oct 25, 2016

Use the FOIL method to get
64y^2+48y+964y2+48y+9

Explanation:

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

(8y+3)xx(8y+3)(8y+3)×(8y+3)

Next, use the FOIL method. Each letter represents the numbers you need to multiply
F: First numbers. " "8yxx8y=64y^2 8y×8y=64y2
O: Outside numbers. " "8y*3=24y 8y3=24y
I: Inside numbers. " "8y*3=24y 8y3=24y
L: Last numbers. " " 3xx3=9 3×3=9

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

64y^2+24y+24y+964y2+24y+24y+9
64y^2+48y+964y2+48y+9 = answer