Yes, you can take your business deductions against the income.
Per the IRS site:
If you are a self-employed U.S. citizen or resident, the rules for paying self-employment tax are generally the same whether you are living in the United States or abroad.
You must take all of your self-employment income into account in figuring your net earnings from self-employment, even income that is exempt from income tax because of the foreign earned income exclusion.
Example:
You are in business abroad as a consultant and qualify for the foreign earned income exclusion. Your foreign earned income is $95,000, your business deductions total $27,000, and your net profit is $68,000. You must pay self-employment tax on all of your net profit, including the amount you can exclude from income.
Yes, you can take your business deductions against the income.
Per the IRS site:
If you are a self-employed U.S. citizen or resident, the rules for paying self-employment tax are generally the same whether you are living in the United States or abroad.
You must take all of your self-employment income into account in figuring your net earnings from self-employment, even income that is exempt from income tax because of the foreign earned income exclusion.
Example:
You are in business abroad as a consultant and qualify for the foreign earned income exclusion. Your foreign earned income is $95,000, your business deductions total $27,000, and your net profit is $68,000. You must pay self-employment tax on all of your net profit, including the amount you can exclude from income.