What is the value of (a + b)^2 ?

Thanks for pointing out, but I am not sure about OA.
So let's wait for Bunuel to confirm answer.

_____________
The OA is C.

Since we know (a+b)^2-(a-b)^2=4ab

so we need values both for ab and (a-b)

1) a=15/b
2)(a-b)^2=4

from above two options we can have the required value for (a+b)^2

ANSWER IS C

We can determine the value of (a + b)^2 in one of three ways: by figuring out the sum of a and b, by determining what a and b are separately, or by determining the value of a^2 + 2ab + b^2 (which is the quadratic form of our product of factors).

(1) INSUFFICIENT: After multiplying both sides by b, we can determine that ab = 15, but we know nothing else.

(2) INSUFFICIENT: If we FOIL (a – b)2 we can learn that a2 – 2ab + b2 = 4. However, this does not allow us to determine the sum of a and b, the respective values of a and b individually, or the value of a2 + 2ab + b2.

(1) AND (2) SUFFICIENT: Statement 1 tells us ab = 15. If we substitute this into the quadratic equation from the second statement, we can determine the value of a^2 + b^2 in the following manner:

a^2 – 2(15) + b^2 = 4
a^2 – 30 + b^2 = 4
a^2 + b^2 = 34

If we know the value of a^2 + b^2, and the value of ab, we can determine the value of a^2 + 2ab + b^2.
a^2 + 2ab + b^2 = a^2 + b^2 + 2ab = 34 + 2(15) = 64

The correct answer is C