Factorization by Grouping of Terms


 
 
Concept Explanation
 

Factorization by Grouping of Terms

In order to factorize algebraic expressions containing a binomial as a common factor, we write the expression as the product of the binomial and the quotient obtained by dividing the given expression by this binomial.

Illustration : Factorize:  (y-x)a+(x-y)b

Solution :

 (y-x)a+(x-y)b

=-(x-y)a+(x-y)b      [ Taking (-1) common from (y-x)]

=-(x-y)(-a+b)            [ Taking (x - y) common]

=-(x-y)(b-a)               [because  -a + b = b - a ]

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Sample Questions
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Question : 1

Factorise:

large dpi{110} 5x+3y+10x^2+6yx

Right Option : A
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Question : 2

Find rhe greatest common factors :

dpi{110} 36x ,42x^2

Right Option : D
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Explanation
Question : 3

Factorise:  25x^2y-5xy+30xy^2

Right Option : A
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Explanation
 
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