verify the identity a2 + b2 - 2ab =(a - b)2 from Algebra
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Answered by
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LHS. RHS
a^2+b^2-2ab=(a-b)^2
= (a-b) (a-b)=a^2+b^2-2ab
Hence LHS=RHS
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Answered by
1
Step-by-step explanation:
a^2 + b^2 -2ab=(a-b)^2
RHS=(a-b)^2
= (a-b)(a-b)
= a(a-b)-b(a-b)
= a^2 - ab - ba + b^2
= a^2 -2ab + b^2 = LHS....
OR
LHS= a^2 -2ab+ b^2
= a^2 -ab- ab + b^2
= a(a-b) -b(a-b)
= (a-b)(a-b)
= (a-b)^2= RHS.....
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