a + b whole square
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How this identity of (a + b)2 = a2 + b2 + 2ab is obtained:
Taking LHS of the identity:
(a + b)2
This can also be written as:
= (a + b) (a + b)
Multiply as we do multiplication of two binomials and we get:
= a(a + b) + b(a + b)
= a2 + ab + ab + b2
Add like terms and we get:
= a2 + 2ab + b2
Rearrange the terms and we get:
= a2 + b2 + 2ab
Hence, in this way we obtain the identity i.e. (a + b)2 = a2 + b2 + 2ab
Step-by-step explanation:
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