Factorise :
25(x - 2y)2 - 4
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Using the formula
[∵ (x2 - y2) = (x + y)(x - y)]
= (5(x - 2y))2 - (2)2
= (5(x - 2y) - 2)(5(x - 2y) + 2)
= (5x - 10y - 2)(5x - 10y + 2)
Hence,25(x - 2y)2 - 4 = (5x - 10y - 2)(5x - 10y + 2)
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25(2x - y)2 - 16(x - 2y)2
16(5x + 4)2 - 9(3x - 2)2
a2 - 23a + 42
a2 - 23a - 108