Question
Factorise:
25x2 - 10x + 1 - 36y2

Answer

25x2 - 10x + 1 - 36y2
= (25x2 - 10x + 1) - 36y2
= [(5x)2 - 2(5x)(1) + (1)2] - (6y)2
= (5x - 1)2 - (6y)2
= (5x - 1 - 6y)(5x - 1 + 6y)

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