The adjusted basis you get when you add the purchase price to closing expenses and the cost of any improvements during the time of ownership, then subtract any depreciation taken.
Common improvements that can increase your cost base include bathroom or kitchen upgrades, home extensions, new roofs, adding fences or desks, and various landscaping improvements (although these are not limited to).
The price you paid for your expenses at home is also called the tax base. Closing costs associated with tax-deductible sales of rental properties listed above can be used to lower the overall base (or price paid for the home), potentially reducing capital gains taxes.
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