State whether the given statement is true or false
Subtracting the second expression from the first expression we get
$(2 a + b) - (a - b) = a + 2 b$

True

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False

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Solution

The correct option is A True
The given two expressions are $(2 a + b)$ and $(a - b)$ .

Let us subtract the second expression from the first expression as shown below:

$(2 a + b) - (a - b) = 2 a + b - a + b = (2 a - a) + (b + b) (C o m b i n i n g l i k e t e r m s) = (2 - 1) a + (1 + 1) b = a + 2 b$

Hence, $(2 a + b) - (a - b) = a + 2 b$ .

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