3.7 Multiplying Binomials – Part II
There are two special cases of multiplication of binomials.
A. Squaring a Binomial
The square of a binomial means we are just multiplying the binomial by
itself.
x  32 
There is a pattern in the expansion since the product involves two equal
binomials.
x  32 
You can use this pattern to square the binomial directly.
Examples:
2


3
x

4
1)
2


x

4
4)
2)
5  6 y 2
5)
3x  22
3)
2b  5
6)
22a  3
Math 9
2
2
Marsh
B. Product of a Sum and a Difference
In this special case you have the same terms in each binomial and one is
a __________ and the other is a ____________.
x  6x  6 
The ____________ term is zero. This pattern can be used to find the
product directly.
Examples:
1)
a  4a  4
2)
2 x  7 2 x  7 
3)
5  m5  m
4)
3x  y 3x  y 
Worksheet
Math 9
Marsh