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Question


The factors of  ax + bx - ay - by are __________.


Options:
A .   (a + b) and (x + y)
B .   (a - b) and (x - y)
C .   (a + b) and (x - y)
D .   (a - b) and (x + y)
Answer: Option C
:
C

We need to regroup ax  + bx - ay - by


We get x(a+b) - y(a+b)


Taking (a+b) common from both the terms we get (a+b)(x-y)
Thus, (a+b) and (x-y) is the factors of  ax  + bx - ay - by



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