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If (sin ^(4) A)/(a) + (cos ^(a) A)/( b) ...

If `(sin ^(4) A)/(a) + (cos ^(a) A)/( b) =(1)/(a+b),` then the vlaue of `(sin ^(8)A)/(a ^(3))+ (cos ^(8) A)/(b ^(3))` is equal to

A

`1/(a+b)^3`

B

`(a^3b^3)/(a+b)^3`

C

`(a^2b^2)/(a+b)^2`

D

`(a^2b^2)/(a+b)^3`

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