Difference of Two Perfect Squares.15.notebook
March 16, 2016
Topic: Quadratics
Aim: How do we factor using difference of two perfect
squares?
DO NOW: Find the product.
1) (x+3)(x+3)
2) (x+3)(x-3)
3) (2x-4)(2x-4)
4) (2x-4)(2x+4)
Mar 3­3:18 PM
Let's look at the product of conjugate binomials, or
binomials in the form of a+b and a-b, from the Do Now.
(x+3)(x-3)
(2x+4)(2x-4)
What do we notice when we multiply conjugate pairs?
Multiplying Conjugate pairs
(a+b)(a-b)=a2-b2
Mar 3­9:59 AM
1
Difference of Two Perfect Squares.15.notebook
March 16, 2016
We should now be able to reverse this multiplication in order
to rewrite expresions that are the Difference Of Two
perfect Squares into products.
Perfect Squares- ____________________
_________________________________
Ex:_______________________________
Example 1: Write each of the following binomials as an
equivalent product of conjugates.
a) x2 -81
b) 25-y2
c) 121x2 -1
d) 4x2 -49y2
Mar 3­10:07 AM
Factoring using the Difference of Two Perfect
Squares (DOTS)
Example 2: Factor.
a) x4 -100
b) p4 -81
c) 196x4 -169y2
d)
e)
f)
Oct 28­3:39 PM
2
Difference of Two Perfect Squares.15.notebook
March 16, 2016
Topic: Factoring Polynomials
Aim: How do we factor differences of two squares
completely?
***buy green
books in
HW:p.381 #25-30 p.401 #3-8 p.407 #11,12 bookstore $3
Do Now: Factor each expression.
1) 14x3 - 21x2 + 7x
2) 81m2 - 36n10
3) 30a3b5 - 45a4b2
Mar 15­11:16 AM
Mar 16­9:50 AM
3
Difference of Two Perfect Squares.15.notebook
March 16, 2016
Factor Completely
To continue to factor until no further factors are
found (factor twice!!)
1) Factor the Greatest Common Factor
2) Factor Difference of 2 Perfect Square or Trinomial
3) Write your answer as the product of all the factors
Factor Completely!
3) 5x2 -45
4) r4 -16s4
5) y8 -81x4
6) 4n-n3
Dec 11­7:49 AM
4