3) Factor by the method of grouping. Show the check by re-multiplication of the factors. 10xy-2xy+45x-9w
Given equation is
10xy - 2xy + 45 x - 9x --------> 1
Above equation rewritten as
10xy + 45 x - 2xy - 9x = 5x ( 2y + 9 ) - x ( 2y + 9 )
= ( 5x - x )( 2y + 9 )
= 4x ( 2y + 9 )
Factots are 5x - x , 2y+9
Or
4x , 2y + 9
From 1 we get
10xy - 2xy + 45x - 9x = 8xy +36x -----------> 2
Multify the factors ( 4x )and (2y + 9 ) we get
(4x)(2y+9) = 4x × 2y + 4x × 9
= 8xy + 36 x ---------------> 3
From 2 , 3 we check re multiplication of factors
Factors are 4x , 2y + 9
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