Subtract using column method : $5 a + 3 b - 4 c$ from $11 a - b - c$

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Solution

Steps involved in subtraction by column method
Step 1 : Write the subtrahend ( I.e., the algebraic expression to be subtracted) below the minuend ( I.e., the expression from which the subtrahend is to be subtracted ) such that the like terms are in the same column.
$11 a - b - c + 5 a + 3 b - 4 c$
Step 2 : Change the sign of each term of subtrahend .
$11 a - b - c + 5 a + 3 b - 4 c - - +$
Step 3 : Add the two algebraic expressions
$11 a - b - c + 5 a + 3 b - 4 c - - +6 a - 4 b + 3 c$
Hence , $6 a - 4 b + 3 c$ is the difference between the given algebraic expressions

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