simplify : (2a+b)3-(2a-b)3
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Answered by
1
Answer:
6a+3b-6a-3b
=0 ok understood
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step by step explanation:
ANSWER
(2a+b)3−(2a−b)3
Using identity:-
(x+y)3=x3+y3+3x2y+3xy2
(x−y)3=x3−y3−3x2y+3xy2
Therefore,
(2a+b)3−(2a−b)3
=[(2a)3+b3+3(2a)2b+2(2a)b2]−[(2a)3−b3−3(2a)2b+2(2a)b2]
=[8a3+b3+12a2b+3ab2]−[8a3−b3−12a2b+3ab2]
=8a3+b3+12a2b+3ab2−8a3+b3+12a2b−3ab2
=b3+12a2b+b3+12a2b
=2b3+24a2b
Hence (2a+b)3−(2a−b)3=2b3+24a2b.
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