How do you simplify (5x+4)(5x+4)(5x-4)(5x-4)?

Rodrigo Underwood

Rodrigo Underwood

Answered question

2022-02-09

How do you simplify (5x+4)(5x+4)(5x-4)(5x-4)?

Answer & Explanation

budniji8d1

budniji8d1

Beginner2022-02-10Added 15 answers

It's beneficial to rearrange the factors first in this case, and write the whole thing as a square, because when you use the FOIL (First, Outside, Inside, Last) method, the ± signs will cause cancellation for the first step after that to make your work a bit easier. Like this:
(5x+4)(5x+4)(5x4)(5x4)=((5x+4)(5x4))2
=(25x220x+20x16)2=(25x216)2
Now just FOIL this expression out:
(25x216)(25x216)=625x4800x2+256

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