Question

Simplify the following expression.
(2d – 3)(2d – 3)

Answer 1

`4d^2-12d+9`

Explanation:

Okay, so lets break this problem down. We are given two binomials to multiply together. The simplest way to get our answer is by using the F.O.I.L method. This is done by the following:

F: First

O: Outer

I: Inner

L: Last

To say simply, the first term in the first parenthesis or 2d will be multiplied the first term in the second parenthesis 2d.

Here are the steps:

`(2d-3)(2d-3)\\2d*2d=F\\2d*-3=O\\-3*2d=I\\-3*-3=L\\Now:\\2d*2d=4d^2\\2d*-3=-6d\\-3*2d=-6d\\-3*-3=9\\$4d^2-6d-6d+9\\Combine Terms\\4d^2-12d+9`

I would be happy to help you again in the future, and hope that this provided some clarification for you. Have a nice day! :D