One of the factors of (25x²-1)-(1-5x)^2 is
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(25x^2-1)-(1-5x)^2,
= ((5x)^2-1^2) - (1-5x)^2,
= (5x+1)(5x-1) - (1-5x)^2,
=(1-5x)[ -(5x+1)-(1-5x)],
= (1-5x) [ -2],
therefore,(1-5x) is a factor of (25x^2-1)-(1-5x)^2.
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