Mathematics
Factorise :
5a2 - b2 - 4ab + 7a - 7b
Factorisation
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Answer
Given,
5a2 - b2 - 4ab + 7a - 7b
= 5a2 - 4ab - b2 + 7a - 7b
= 5a2 - 5ab + ab - b2 + 7a - 7b
= 5a(a - b) + b(a - b) + 7(a - b)
= (a - b)(5a + b + 7).
Hence, 5a2 - b2 - 4ab + 7a - 7b = (a - b)(5a + b + 7).
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