The associative and distributive properties can be confusing. The
associative property states ðabÞc (ab)c = a(bc). This property says that when multiplying three (or more)
quantities you can multiply the first two then the third or multiply the second
two then the first. For example, it might be tempting to write 
. But 
. The ‘‘5’’ can be grouped either with ‘‘x + 1’’ or with ‘‘y – 3’’ but
not both:
.
Factors themselves can have more than one term. For instance 3(x + 4) –
(x(x + 4) has x + 4 as a factor in each term, so x + 4 can be factored from 3(x
+ 4) and x(x + 4):
:
Examples
Practice
Solutions
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Mathematician
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