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How do you factor the expression #9x² - 1#?

1 Answer

Dec 6, 2015

# color(blue)((3x+1)(3x-1)#

Explanation:

#9x^2-1#

The above expression can be written as
#(3x)^2 - 1^2#

As per property
#color(blue)(a^2-b^2=(a+b)(a-b)#

So for the given expression
#color(blue)(a=3x#
#color(blue)(b=1#

#(3x)^2 - 1^2= color(blue)((3x+1)(3x-1)#

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