Mathematics
(a + b)2 - a2 + b2
Factorisation
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Answer
Given,
(a + b)2 - a2 + b2
= (a + b)2 - (a2 - b2)
= (a + b)2 - (a + b)(a - b)
= (a + b)[(a + b) - (a - b)]
= (a + b)[a + b - a + b]
= 2b(a + b).
Hence, (a + b)2 - a2 + b2 = 2b(a + b).
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