Subtraction of Algebraic Expression


 
 
Concept Explanation
 

Subtraction of Algebraic Expression

Subtraction of Algebraic Expressions: To subtract an algebraic expression from another , we change the signs ( from  '+' to '-' or from '-' to '+' ) of all the terms of the expression which is to be subtracted and then we add the two expressions.

Example: ;Subtract; (-2y^{2} + frac{1}{2}y - 3) ;from ;(4y^{2} - 2y - 5)

Solution         The required difference is given by

                     (4y^{2} - 2y - 5 ) - (-2y^{2} + frac{1}{2}y - 3)

                     =4y^{2} - 2y - 5 + 2y^{2} - frac{1}{2} y + 3

                     =;4y^{2} + 2y^{2} - 2y - frac{1}{2} y -5 + 3

                      =(4 + 2 ) y^{2} + ( -2 - frac{1}{2}) y -2

                      =6y^{2} - frac{5}{2} y -2

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Sample Questions
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Question : 1

Subtract  :  5x^2-9xy-3y^2 from  3x^2-5xy+2y^2

Right Option : B
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Explanation
Question : 2

What should be taken away from 3x^2 - 4y^2 + 5xy + 20  to obtain  -x^2 - y^2 + 6xy +20

Right Option : B
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Explanation
Question : 3

Simplify : 10a - a =

Right Option : D
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Explanation
 
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