SOLUTION: Factor by grouping 25x^4-15x^2+10x^2-6

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Question 190873: Factor by grouping
25x^4-15x^2+10x^2-6
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
25x%5E4-15x%5E2%2B10x%5E2-6 Start with the given expression


%2825x%5E4-15x%5E2%29%2B%2810x%5E2-6%29 Group like terms


5x%5E2%285x%5E2-3%29%2B%2810x%5E2-6%29 Factor the GCF from the first group


5x%5E2%285x%5E2-3%29%2B2%285x%5E2-3%29 Factor the GCF from the second group


%285x%5E2%2B2%29%285x%5E2-3%29 Combine like terms.


So 25x%5E4-15x%5E2%2B10x%5E2-6 factors to %285x%5E2%2B2%29%285x%5E2-3%29