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Alexandra [31]
4 years ago
15

PLEASE HELP!!!! Factor this expression completely. x^3 1/8 - y^3 1/27

Mathematics
1 answer:
omeli [17]4 years ago
7 0
This expression is the difference of two cubes:

x^3     y^3
----- - -------
2^3     3^3

The rule here is  a^3 - b^3 = (a - b)(a^2 + ab + b^2), so


x^3     y^3                          x^2       x^3y^3        y^2
----- - ------- = (x/2 - y/3)*(-------- + ----------- + --------- )
2^3     3^3                          2^2          6^3          3^2
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