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Skills CheckFactor.1. x2 + 2x – 15
2. x2 + 14x + 24
3. 2x2 + 6x – 36
4. 3x2 + 13x + 4
5. 4x2 + 16x + 15
Difference of Difference of Two Perfect Two Perfect
SquaresSquares
Difference of SquaresDifference of Squares
A binomial with a subtraction sign in between terms that are both PERFECT SQUARES
2 2a b
To Factor Difference of To Factor Difference of SquaresSquares
• One parenthesis is a plus and one is a minus.
• Take the square root of each term.
a b a b
9 13 9 13 n n
21. 81 169nExample
2 22. 4 121x y 2 11 2 11 x y x y
Example
22 25 x
23. 2 50xExample
2 5 5 x x
24. 3 48b 23 16 b
Example
3 4 4 b b
45. 1296b 2 236 36 b b
Example
2 36 6 6 b b b
Perfect Square Trinomials
•These are special too, but can be done using our usual method of factoring trinomials
26. 6 9 x x
23 x
Example
27. 9 12 4 y y
23 2 y
Example