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How do you factor #27 - x^3#?

1 Answer

Dec 29, 2015

#27-x^3=3^3-x^3=(3-x)(9+3x+x^2)#

Explanation:

#27-x^3# is an example of the difference of cubes, where #a^3-b^3=(a-b)(a^2+ab+b^2)#.

Rewrite #27-x^3# as #3^3-x^3#, where #a=3# and #b=x#.

#(3-x)(3^2+(3·x)+x^2)#

#=(3-x)(9+3x+x^2)#

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