Q. 3 E3.6( 15 Votes )

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Answer :

In the given expression


Check weather there is any common factors for all terms;


None;


Regrouping the 1st 2 terms we have,


3ax – 6ay= 3a[x - 2y] -------eq 1


Regrouping the last 2 terms we have,


-8by + 4bx = 4b[x – 2y] -------eq 2


Combining eq 1 and 2


3ax – 6ay – 8by + 4bx = 3a[x - 2y] + 4b[x – 2y]


= [x – 2y][3a + 4b]


Hence the factors of[3ax – 6ay – 8by + 4bx] are [x – 2y] and [3a + 4b]


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