Question

3) Factor by the method of grouping. Show the check by re-multiplication of the factors. 10xy-2xy+45x-9w

3) Factor by the method of grouping. Show the check by re-multiplication of the factors. 10xy-2xy+45x-9w

Math   Prealgebra   
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Homework Answers

Answer #1

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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