SOLUTION: Factor: 128x^6-54y^3

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Question 527309: Factor: 128x^6-54y^3
Answer by thinkinbig2(5)   (Show Source): You can put this solution on YOUR website!
128x^(6)-54y^(3)
Factor out the GCF of 2 from each term in the polynomial.
2(64x^(6))+2(-27y^(3))
Factor out the GCF of 2 from 128x^(6)-54y^(3).
2(64x^(6)-27y^(3))
The binomial can be factored using the difference of cubes formula, because both terms are perfect cubes. The difference of cubes formula is a^(3)-b^(3)=(a-b)(a^(2)+ab+b^(2)).
2(4x^(2)-3y)(16x^(4)+12x^(2)y+9y^(2))

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