How do you factor $125 - 27^{3}$ $125-27^3$ ?

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How do you factor $125 - 27^{3}$ $125-27^3$ ?

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Answer 1 · 2016-03-05T20:26:49

$5^{3} - 27^{3} = (5 - 27) (5^{2} + 5 \cdot 27 + 27^{2})$ $5^3-27^3 = (5-27)(5^2+5*27+27^2)$

Explanation:

Use the formula for difference of two cubes $(x^{3} - y^{3}) = (x - y) (x^{2} + x y + y^{2})$ $(x^3-y^3)=(x-y)(x^2+xy+y^2)$ to factor. But first write it as a difference of two cubes.

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How do you factor $125 - 27^{3}$ $125-27^3$ ?

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