SOLUTION: Please help factor completly 128x^3-54

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Question 55642: Please help factor completly 128x^3-54
Answer by funmath(2873) About Me  (Show Source):
You can put this solution on YOUR website!
factor completly
128x%5E3-54 Factor the GCF out
2%2864x%5E3-27%29 Realize that you have the difference of cubes.
2%284x%2A4x%2A4x-3%2A3%2A3%29
2%28%284x%29%5E3-%283%29%5E3%29 Use the formula for factoring the diffence of cubes:highlight%28u%5E3-v%5E3=%28u-v%29%28u%5E2%2Buv%2Bv%5E2%29%29 Your u=4x and v=3
2%284x-3%29%28%284x%29%5E2%2B%284x%29%283%29%2B%283%29%5E2%29
highlight%282%284x-3%29%2816x%5E2%2B12x%2B9%29%29
Happy Calculating!!!