obtain the expansion of following binomial expansion (3/a+ 4/b)3
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answer - 27a*3 + 108a*2 + 144ab*2 + 64b*3
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Answer:
☆ (3/a + 4/b)³.
= 27/a³ + 64/b³ + 108/a²b + 144/ab².
Step-by-step explanation:
(3/a + 4/b)³.
☆ By using 6th algebric identity.
i.e. (a + b)³ = a³ + b³ + 3a²b + 3ab².
● (3/a + 4/b)³.
(3/a)³ + (4/b)³ + 3(3/a)²(4/b) + 3(3/a)(4/b)².
27/a³ + 64/b³ + 3(9/a²)(4/b) + 3(3/a)(16/b²).
27/a³ + 64/b³ + 108/a²b + 144/ab².
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