The result of the product is a + 4b
The expression is given as:
Open the brackets
[tex]-a +2b + 2c +2(a + b - c) = -a +2b + 2c +2a + 2b - 2c[/tex]
Collect like terms
[tex]-a +2b + 2c +2(a + b - c) = -a +2a+2b + 2b + 2c - 2c[/tex]
Evaluate the like terms
[tex]-a +2b + 2c +2(a + b - c) = a+4b[/tex]
Hence, the result of the product is a + 4b
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