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1. Factoring - Difference of Squares
2. What is a Perfect Square
3. What numbers are Perfect Squares?
4. Factoring: Difference of Squares Count the number of terms. Is it a binomial?
Is the first term a perfect square?
Is the last term a perfect square?
Is it, or could it be, a subtraction of two perfect squares?
x2 – 9 = (x + 3)(x – 3)
The sum of squares will not factor a2+b2
5. Using FOIL we find the product of two binomials.
6. Rewrite the polynomial as the product of a sum and a difference.
7. Conditions for Difference of Squares Must be a binomial with subtraction.
First term must be a perfect square.
(x)(x) = x2
Second term must be a perfect square (6)(6) = 36
8. Recognizing the Difference of Squares
9. Recognizing the Difference of Squares
10. Check for GCF.
11. Removing a GCF of -1.
12. Difference of Squares
14. Factoring - Difference of Squares