Factors of ax + by + bx + az + ay + bz are:

(b x + a y) (a x + b y)

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(a + b) (2 x + 2 y + 2 z)

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(x + y + z) (a + b)

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None of these

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Solution

The correct option is A $(x + y + z) (a + b)$
$a x + b y + b x + a z + a y + b z$
$= (a x + a y + a z) + (b x + b y + b z)$
$= a (x + y + z) + b (x + y + z)$
$= (x + y + z) (a + b)$

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