Is the answer A?

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Yes. How you did?

Is the mentioned approach correct?

1 + 1 = 2 (units digit: 2)

2 + 4 = 6 (units digit: 6)

3 + 9 = 2 (units digit: 2)

4 + 6 = 0 (units digit: 0)

5 + 5 = 0 (units digit: 0)

6 + 6 = 2 (units digit: 2)

7 + 9 = 6 (units digit: 6)

8 + 4 = 2 (units digit: 2)

9 + 1 = 0 (units digit: 0)

0 + 0 = 0 (units digit: 0)

Yes its fine

X+x^2 = x(1+x) is also fine