Q17 of 137 Page 99

Factories:

ar + br + at + bt

ar + br + at + bt


First group the terms together;


= (ar + br) + (at + bt)


= r(a + b) + t(a + b)


= (a + b)(r + t)


So,


We get,


ar + br + at + bt = (a + b)(r + t)


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