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How do you factor #36x^3-9x#?

1 Answer

May 20, 2016

#9x(2x-1)(2x+1)#

Explanation:

Note that #4xx9=36#

#=>9x(4x^2-1)#

Consider the standard form of #" "a^2-b^2=(a-b)(a+b)#

Note that #4x^2 -> (2x)^2" and " 1=1^2#

#9x[ (2x)^2-1^2]#

#9x(2x-1)(2x+1)#

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