Subtraction of Algebraic Expression


 
 
Concept Explanation
 

Subtraction of Algebraic Expression

The difference between two like terms is a like term with a numerical coefficient equal to the difference between the numerical coefficients of the two like terms.

Note: Unlike terms cannot be subtracted the way like terms are subtracted.

Illustration: Subtract 7 from 3xy.

Solution: As both terms in the given expression are alike. Hence expression for the given statement is 3xy - 7.

Illustration: Subtract a-b from 3a-b+4

Solution: The difference = 3a - b + 4 - (a - b)

                  = 3a - b + 4 - a + b

Observe how we look (a - b) in brackets and look care of sign in opening the bracket. Rearranging the terms to put like terms together;

The difference = 2a + (0) b + 4 = 2a + 4

Subtraction of algebraic expressions is explained in each step as follows:

  • Step I: Arrange the terms of the given expressions in the same order.
  • Step II: Write the given expressions in two rows in such a way that the like terms occur one below the other, keeping the expression to be subtracted in the second row.
  • Step III: Change the sign of each term in the lower row from + to - and from - to +.
  • Step IV: With new signs of the terms of lower row, add column wise.
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    Sample Questions
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    Question : 1

    What should be subtracted from  :    2a + 8b + 10 to get -3a +7b + 16  ?

    Right Option : A
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    Explanation
    Question : 2

    Subtract   :  -m^{2} + 5mn    from   4m^{2} - 3mn + 8

    Right Option : B
    View Explanation
    Explanation
    Question : 3

    Simplify : 9n - 4n =

    Right Option : C
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    Explanation
     
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