Factorise the following
ax+by+bx+az+ay+ay+bz
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ax+by+bx+az+ay+bz
By rearrangement,
ax+ay+az+bx+by+bz
Taking a and b common
a(x+y+z)+b(x+y+z)
Taking x+y+z common
(x+y+z)(a+b)
Thus the expression is factorised.
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