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Phoenix [80]
3 years ago
15

How do you factor x2-49 ?

Mathematics
2 answers:
expeople1 [14]3 years ago
4 0
--------------------------------------------------
Question
---------------------------------------------------
x² - 49

--------------------------------------------------
Form into 2 perfect squares
---------------------------------------------------
x² - 7²

--------------------------------------------------
Formula
---------------------------------------------------
a² - b² = (a + b) (a - b)

--------------------------------------------------
Apply the formula
---------------------------------------------------
x² - 7² = (x + 7)(x - 7)

--------------------------------------------------
Answer: (x + 7)(x - 7)
---------------------------------------------------
Alborosie3 years ago
4 0
You want to pull out the square roots of each term since they are both perfect squares.

Factor using the difference of squares formula: a2-b2=(a+b)(a-b)
This formula allows the middle term to cancel out.

=x2 - 49
=(x + 7)(x - 7)


ANSWER: (x + 7)(x - 7)

Hope this helps! :)
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