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Chapter 11: Problem 4

If \(A=2 x-(y-2 c)\) and \(B=(2 x-y)-2 c,\) then \(A-B=\) a. \(-2 y\) b. \(-4 c\) c. 0 d. \(2 y\) e. \(4 c\)

Short Answer

Expert verified
The value of \(A - B\) is 0, so option c is correct.

Step by step solution

01

Substitute the values of A and B

First of all, insert the known values of A and B in the expression \(A - B\). It becomes \( (2x - (y - 2c)) - ((2x - y) - 2c)\)
02

Simplify the expressions

The next step involves simplifying the expression: \(2x - y + 2c - 2x + y - 2c = 0\)
03

Observation

On further observation, we see that the terms cancel each other out, which makes the entire expression equal to zero.

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