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Find maximum value of a^(2)b^(3) if a+b=...

Find maximum value of `a^(2)b^(3)` if `a+b=2`. When a & b are positive numbers

A

`(2^(5)3^(5))/(2^(5))`

B

`(2^(7)3^(3))/(5^(5))`

C

`(2^(8)3^(2))/(5^(5))`

D

`(2^(6)3^(4))/(5^(5))`

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The correct Answer is:
A
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