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Question

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


  1. (a - b) and (x - y)

  2. (a + b) and (x + y)

  3. (a + b) and (x - y)

  4. (a - b) and (x + y)


Solution

The correct option is C

(a + b) and (x - y)


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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