SOLUTION: Please help me solve this equation for factoring polynomials completely {{{27p^3-1}}}. Please help me solve this equation for factoring polynomials completely {{{125a^3-8b^3}}}. Pl

Algebra ->  Test -> SOLUTION: Please help me solve this equation for factoring polynomials completely {{{27p^3-1}}}. Please help me solve this equation for factoring polynomials completely {{{125a^3-8b^3}}}. Pl      Log On


   

Question 121452: Please help me solve this equation for factoring polynomials completely 27p%5E3-1. Please help me solve this equation for factoring polynomials completely 125a%5E3-8b%5E3. Please help me solve this equation for factoring polynomials completely 192k%5E3m-375m%5E4. Please help me solve this equation for factoring polynomials completely 343c%5E3%2B8. Please help me solve this equation for factoring polynomials completely 512y%5E3-729.Please help me solve this equation for factoring polynomials completely x%5E3-125.
Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
Remember,
a%5E3%2Bb%5E3=%28a%2Bb%29%28a%5E2-ab%2Bb%5E2%29
a%5E3-b%5E3=%28a-b%29%28a%5E2%2Bab%2Bb%5E2%29



27p%5E3-1=%283p%29%5E3-1%5E3
27p%5E3-1=%283p-1%29%28%283p%29%5E2%2B1%283p%29%2B1%5E2%29
27p%5E3-1=%283p-1%29%289p%5E2%2B3p%2B1%29


125a%5E3-8b%5E3=%285a%29%5E3-%282b%29%5E3
125a%5E3-8b%5E3=%285a-2b%29%28%285a%29%5E2%2B%285a%29%282b%29%2B%282b%29%5E2%29
125a%5E3-8b%5E3=%285a-2b%29%2825a%5E2%2B10ab%2B4b%5E2%29


192k%5E3m-375m%5E4=3m%2864k%5E3-125m%5E3%29
192k%5E3m-375m%5E4=3m%28%284k%29%5E3-%285m%29%5E3%29
192k%5E3m-375m%5E4=3m%284k-5m%29%28%284k%29%5E2%2B%284k%29%285m%29%2B%285m%29%5E2%29
192k%5E3m-375m%5E4=3m%284k-5m%29%2816k%5E2%2B20km%2B25m%5E2%29


343c%5E3%2B8=%287c%29%5E3%2B2%5E3
343c%5E3%2B8=%287c%2B2%29%28%287c%29%5E2-2%287c%29%2B2%5E2%29
343c%5E3%2B8%287c%2B2%29%2849c%5E2-14c%2B4%29


512y%5E3-729=%288y%29%5E3-9%5E3
512y%5E3-729=%288y-9%29%28%288y%29%5E2%2B9%288y%29%2B9%5E2%29
512y%5E3-729=%288y-9%29%2864y%5E2%2B72y%2B81%29


x%5E3-125=x%5E3-5%5E3
x%5E3-125=%28x-5%29%28x%5E2%2B5x%2B5%5E2%29
x%5E3-125=%28x-5%29%28x%5E2%2B5x%2B25%29

Power up,
HyperBrain!