SOLUTION: Factor completely: (5x^2 + 14x + 13)^2 - 16(x^2 + x - 2)^2

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Question 252301: Factor completely: (5x^2 + 14x + 13)^2 - 16(x^2 + x - 2)^2
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
This is a difference of squares:
%285x%5E2+%2B+14x+%2B+13%29%5E2+-+16%28x%5E2+%2B+x+-+2%29%5E2
the tricky part is to notice that 16 = 4^2. So the second term is really 4^2(X^2+x-2)^2

combine like terms within each large [stuff]
%281x%5E2%2B10X%2B21%29%289X%5E2%2B18X%2B5%29
continue factoring
%28X%2B3%29%28X%2B7%29%283X%2B5%29%283X%2B1%29