29. For a binomial to be a difference of two
squares, two condition must hold.
There must be two terms that are
both squares. Examples are 9a² and
25a⁴ and 81 and x².
There must be a minus sign
between two terms.
30. Are the first term & second term
the same? Why or why not?
31. What pattern is seen in the factors of
difference of two squares?
32. When can you factor expressions
using difference of two squares?
33. Can all expressions be factored
using difference of two squares?
Why or why not?
37. x
7x
4
7
Find the area of
the larger
rectangle:
Find the area of
the smaller
rectangle:
A = lw
= 7x(x)
= 7x²
A = lw
= 7(4)
= 28
Polynomial: 7x² - 28
Factor: 7x² - 28 GCF: 7
7x² - 28 = 7 (x² - 4)
= 7 (x + 2) (x – 2)
38. Generalization:
1. How do you find the factors of difference
of two squares?
2. Why is it important to learn the squares
and square roots of the number?
3. Is it possible to factor an expression if it
contains a number that is not a square? Depend
your answer.
For you to have a better understanding about this lesson, observe how the expressions below are factored, observe how each terms relates with each other.
Students will answer on the board.
Since we are finding for the area of the shaded region, Subtract the area of the smaller rectangle from the area of the larger rectangle.