Special
Products
In this section
we will cover special products.
Binomial square
A binomial square
such as
will always result in the square a the first term plus the square of
the last and the product of first term and the last term times two.
ie
=
Lets work more
examples
1)
(c+6)(c+6)
c(c) + 6(c) +
6(c) + 6(6)
2)
(a – 7)(a –
7)
a(a) – 7(a)
– 7(a) + 7(7)
3)
(2b – 1)(2b
– 1)
2b(2b) –
1(2b) – 1(2b) + 1
Product of a sum
an differnce.
When ever you
multiply two binomial that are similar but only a sign change
difference, the answer is the square of the first minus the square of
the second.
Example
(a – 3)(a +
3)
a(a) – 3(a)
+ 3(a) – 3(3)
(b + 5)(b –
5)
So then you
should see the pattern
(a + b)(a –
b)
(x + y)(x –
y)
