Guide Questions:

1. What kind of number is the first term of each polynomial?
2. What kind of number is the last term of each polynomial?
3. What is the middle sign of the polynomial?
4. How was the polynomial factored?
5. What pattern did you see in the factors of the difference of two terms?
6. Can all expressions be factored using difference of two squares? Why or why not?
7. When can you factor expressions using difference of two squares?

Answer to the Questions:

1. The first terms are perfect squares. 2.The last terms are perfect squares.
3. The middle sign is a minus sign.
4. Just extract the square root of the first term and the last term
5. The sum and difference of the square roots of the first and last terms or
(x - y)(x + y)
6. Not all expressions can be factored using the difference of two square, because not all expressions are difference of two squares.
7. Only difference of two binomials whose first term is a perfect square and the last term also is a perfect square. 1 bit differensef​