State whether the given statement is true or false
$(x + 2 y + z) - (- x - y - 3 z) = 2 x + 3 y + 4 z$

True

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False

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Solution

The correct option is A True
Let us solve the given expression $(x + 2 y + z) - (- x - y - 3 z)$ as shown below:

$(x + 2 y + z) - (- x - y - 3 z) = x + 2 y + z + x + y + 3 z = (x + x) + (2 y + y) + (z + 3 z) (C o m b i n i n g l i k e t e r m s) = (1 + 1) x + (2 + 1) y + (1 + 3) z = 2 x + 3 y + 4 z$

Hence, $(x + 2 y + z) - (- x - y - 3 z) = 2 x + 3 y + 4 z$ .

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