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Default keeping same-row(or column) cell constant in a formula while drag-

How one can keep same-row cell (or same-column cell) constant in a formula
while he/she uses drag-fill handle across rows and columns of a table?
There is a formula in B2: =A2+B1. We want to use drag-fill to fill:
- row 2 while keeping A2 the same, and,
- column B while keeping B2 the same
(changing A2 to $A$2 is not helpful)

A B C D E F G
_____________________
1 |__|__|__|__|__|__|__|_
2 |__|__|__|__|__|__|__|_
3 |__|__|__|__|__|__|__|_
4 |__|__|__|__|__|__|__|_
5 |__|__|__|__|__|__|__|_
6 |__|__|__|__|__|__|__|_

This is a required functionality doing what-if and scenarios analysis.
 
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