Page 18 - MODULE 1 Q1MATH8

What Is It
Activity 2: Finding the Roots
In the activity number 1, you learned the squares and roots of numbers 1-20, and variables n  n10 . This is for you to easily find the roots of the given squares in this discussion. Once you know the roots of the squares and remember the formula of factoring difference of two squares which is a2 – b2 = (a + b)(a – b), then you will easily answer all the given expressions in the following activities.
Let’s Try:
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.
Formula: a2 b2 (ab)(ab) Expressions
Factored Form
(xy)(xy) (2x7y)(2x7y)
(4ab2 5c)(4ab2 5c) (9g6 15h4)(9g6 15h4)
(8 𝑚7 +11𝑚3𝑛)(8 𝑚7 −11𝑚3𝑛) 17 13 17 13
1. 2. 3. 4.
5.
x2 y2  4x2 49y2 
16a2b4 25c2  81g12 225h8 
64 m14 121m6n2  289 169
Questions:
1. 2. 3. 4.
Are the first term and second term the same? Why or why not?
What pattern is seen in the factors of difference of two squares?
When can you factor expressions using difference of two squares
Can all expressions be factored using difference of two squares? Why
or why not?
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