SOLUTION: factor completely 30r^3-40r^2+270r-360

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Question 645982: factor completely
30r^3-40r^2+270r-360
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

30r%5E3-40r%5E2%2B270r-360 Start with the given expression


%2830r%5E3-40r%5E2%29%2B%28270r-360%29 Group the terms in two pairs


10r%5E2%283r-4%29%2B90%283r-4%29 Factor out the GCF 10r%5E2 out of the first group. Factor out the GCF 90 out of the second group


%2810r%5E2%2B90%29%283r-4%29 Since we have the common term 3r-4, we can combine like terms


10%28r%5E2%2B9%29%283r-4%29 Now factor out 10 from 10r%5E2%2B90


So 30r%5E3-40r%5E2%2B270r-360 factors to 10%28r%5E2%2B9%29%283r-4%29


In other words, 30r%5E3-40r%5E2%2B270r-360=10%28r%5E2%2B9%29%283r-4%29 for all values of r.

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