SOLUTION: factor the expression a^3 - 196a + 2a^2 - 392

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Question 415852: factor the expression
a^3 - 196a + 2a^2 - 392
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

a%5E3+-+196a+%2B+2a%5E2+-+392............reorder the terms

a%5E3++%2B+2a%5E2+-+196a+-+392.......group first two and second two
a%5E2%28a++%2B+2%29+-+196%28a+%2B+2%29
%28a%5E2+-+196%29%28a+%2B+2%29...........196=14%5E2
%28a%5E2+-+14%5E2%29%28a+%2B+2%29....you can factor the difference of the squares

%28a+-+14%29%28a%2B14%29%28a+%2B+2%29