Subtraction of Algebraic Expression


 
 
Concept Explanation
 

Subtraction of Algebraic Expression

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.

Example:  If we subtract 7 from 3xy, the result is 3xy - 7.

Example: 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 are explained in each steps:

  • 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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    Question : 2

    What would be subtracted from  (-2x^3+5x^2-x+8)  to  get  5x^2-4x+12  ?

    Right Option : C
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    Question : 3

    The difference of 4x^2y-3xy+5x  from  10x^2y-6xy+15x-25  is   __________________________-

    Right Option : B
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