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Addition and Subtraction of Algebraic Expression

From the sum ...

Question

From the sum of $3 a - 2 b + 4 c$ and $3 b - 2 c$ subtract $a - b - c$ .

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Solution

The value of terms as per the question is calculated as shown below
$(3 a - 2 b + 4 c) + (3 b - 2 c) - (a - b - c)$
$= 3 a - 2 b + 4 c + 3 b - 2 c - a + b + c$
On further calculation, we get
$= 3 a - a + 3 b + b - 2 b + 4 c + c - 2 c$
$= 2 a + 2 b + 3 c$
Hence, $(3 a - 2 b + 4 c) + (3 b - 2 c) - (a - b - c) = 2 a + 2 b + 3 c$

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