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

1 Answer

3 votes

Answer:

(7 + 2√u)(7 - 2√u)

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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