Mathematics
Factorise :
(5a - 3b)2 - 16b2
Factorisation
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Answer
(5a - 3b)2 - 16b2
= (5a - 3b)2 - (4b)2
Using the formula
[∵ (x2 - y2) = (x + y)(x - y)]
= ((5a - 3b) + 4b)((5a - 3b) - 4b)
= (5a - 3b + 4b)(5a - 3b - 4b)
= (5a + 1b)(5a - 7b)
Hence,(5a - 3b)2 - 16b2 = (5a + b)(5a - 7b)
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