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Bunuel
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L = (a - b)- c = a - b - c
R = a - (b - c) = a - b + c

L - R = a - b - c - (a - b + c) = a - b - c - a + b - c = -2c

Hence, E.
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Bunuel
If \(L = (a - b)- c\) and \(R = a - (b - c)\), then \(L - R =\)


(A) 2b

(B) 2c

(C) 0

(D) -2b

(E) -2c

\(L = a - b - c\)

\(R = a - b + c\)

So, \(L - R = (a - b - c ) - ( a - b + c )\)

Or, \(L - R = a - b - c - a + b - c\)

Or, \(L - R = - 2c\), Answer must be (E)
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L=a−b−c

R=a−b+c


So,
L−R=(a−b−c)−(a−b+c)

Or,
L−R=a−b−c−a+b−c

Or,
L−R=−2c
Answer must be (E)
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Given that,
L=(a-b)-c or a-b+c
R=a-(b-c) or a-b+c
So L-R = 0
because both value are same
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L=(a-b)-c
we can write this as a-b-c ( removing the bracket won't alter the sign)

R=a-(b-c)
we can write this as a-b+c

L-R= a-b-c-(a-b+c)
which equals : a-b-c-a+b-c

so we get : -2C
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L-R=a-b-c-a+b-c
i.e. -2c
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Solution



Given:
    • L = (a – b) – c = a – b – c
    • R = a – (b – c) = a – b + c

To find:
    • The value of L – R

Approach and Working:
As we already have the simplified expressions of both L and R, we can get the value of L – R as follows:
    • L – R = (a – b – c) – (a – b + c) = a – b – c – a + b – c = a – a – b + b – c – c = - 2c

Hence, the correct answer is option E.

Answer: E

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Bunuel
If L=(a-b)-c and R=a-(b-c), then L - R =

A. 2b
B. 2c
C. 0
D. -2b
E. -2c

L - R is:

(a - b) - c - [a - (b - c)]

a - b - c - [a - b + c]

a - b - c - a + b - c = -2c

Answer: E
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