For Problems , use the difference-of-squares pattern to factor each of the following. (Objective 1)
The given problem by the use of the difference-of-squares pattern.
i) The Difference of Two Squares pattern states that .
ii) Multiplication is commutative, so the order of writing the factors is not important. For example, can also be written as .
The following steps have been followed to find out the factors:
Step-1: Convert the given polynomial in the form of 2 squares with subtraction and compare with the difference of two squares pattern.
Step-2: Replace the value of and by the given binomial values in the difference of two squares pattern and simplify.
The given polynomial is .
It can be written as,
This equation has 2 squares and they are subtracted.
So, the above equation represents the difference of two squares pattern. That is,
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