bubba2424 bubba2424
  • 08-08-2019
  • Mathematics
contestada

Factor.
49-4u?
What is the final answer?

Respuesta :

altavistard
altavistard altavistard
  • 08-08-2019

Answer:

(7 + 2√u)(7 - 2√u)

Step-by-step explanation:

There are two terms here, 49 and -4u.  These terms have nothing in common, so any factors will not be rational unless u is a positive perfect square.

However, we could rewrite 49 - 4u as 7^2 - [2√u]^2, which is the difference of two squares.  This latter result can be factored as

(7 + 2√u)(7 - 2√u)

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