"Use the identity a2-b2=(a-b)(a+b) to solve the problem: (3x-2)2=(5x+1)2"
Rewrite as: (5x+1)2 - (3x-2)2 = 0
Let a = 5x+1 and b = 3x-2
(5x+1)2 - (3x-2)2 → (5x+1 - (3x-2))(5x+1 + 3x-2) → (2x + 3)(8x - 1)
so (2x + 3)(8x - 1) = 0
Hence 2x + 3 = 0 giving x = -3/2
or 8x - 1 = 0 giving x = 1/8
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