If `a=(sqrt(5)+1)/(sqrt(5)-1)` and `b=(sqrt(5)-1)/(sqrt(5)+1)` , the value of `((a^2+a b+b^2)/(a^2-a b+b^2))` is `3/4` (b) `4/3` (c) `3/5` (d) `5/3`

If a=(sqrt(5)+1)/(sqrt(5)-1) and b=(sqrt(5)-1)/(sqrt(5)+1), the value of ((a^(2)+ab+b^(2))/(a^(2)-ab+b^(2))) is (3)/(4) (b) (4)/(3)(c)(3)/(5)(d)(5)/(3)

If a=(3-sqrt(5))/(3+sqrt(5)) and b=(3+sqrt(5))/(3-sqrt(5)) ,find the value of a^(2)+b^(2)

If a = (sqrt5 +1)/(sqrt5-1) and b = (sqrt5-1)/(sqrt5+1) then find the value of (5a^(2) -3ab +5b^(2))

(sqrt(5)-1)/(sqrt(5)+1)+(sqrt(5)+1)/(sqrt(5)-1) =a+b sqrt(5) Then find the value of a and b

If a = (sqrt5 + 1)/(sqrt5 + 1) and b = (sqrt5 -1)/(sqrt5 + 1) , then find the value of (a) (a^(2) + ab + b^(2))/(a^(2) - ab + b^(2)) (b) ((a -b)^(3))/((a + b)^(3)) (c) (3a^(2) + 5ab + b^(2))/(3a^(2) - 5ab + b^(2)) (d) (a^(3) + b^(3))/(a^(3) - b^(3))