simplify this..
hint.. ans is 4(ab+bc)
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Answers
Answered by
2
here's your answer
hope it helps
hope it helps
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kurokiri67:
nope it isn't
Answered by
1
we know the formula
(a+b+c) 2 = a2 + b2 + c2 + 2ab + 2bc + 2ac
using the above formula we get
= ( a+b+c )2 - (a-b+c)2
= a2 + b2 +c2 + 2ab + 2bc + 2ac - ( a2 + b2 + c2 - 2ab - 2bc + 2ac)
= a2 + b2 + c2 +2ab + 2bc +2ac - a2 - b2 -c2 + 2ab + 2bc - 2ac
on simplyfication ( by canceling the similar terms but with different sign ( + & - ) )
we get
= 2ab + 2bc + 2ab + 2bc
= 4ab + 4bc
= 4( ab + bc)
hence simplified
hope you have understood
if you have any doubt reply me back I will solve your doubts
(a+b+c) 2 = a2 + b2 + c2 + 2ab + 2bc + 2ac
using the above formula we get
= ( a+b+c )2 - (a-b+c)2
= a2 + b2 +c2 + 2ab + 2bc + 2ac - ( a2 + b2 + c2 - 2ab - 2bc + 2ac)
= a2 + b2 + c2 +2ab + 2bc +2ac - a2 - b2 -c2 + 2ab + 2bc - 2ac
on simplyfication ( by canceling the similar terms but with different sign ( + & - ) )
we get
= 2ab + 2bc + 2ab + 2bc
= 4ab + 4bc
= 4( ab + bc)
hence simplified
hope you have understood
if you have any doubt reply me back I will solve your doubts
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