QuestionIdentify and factor the following polynomials that are differences of two squares: , , , , , .
Studdy Solution
STEP 1
Assumptions1. A difference of two squares is a polynomial of the form a^ - b^, which can be factored into . . The given polynomials are in the form of a^ - b^ or not.
STEP 2
We start by identifying the polynomials that are in the form of .The polynomials that fit this pattern are , , , , , , , and .
STEP 3
Now, we write these polynomials in their factored form using the formula .
For , and . So, the factored form is .
STEP 4
For , and . So, the factored form is .
STEP 5
For , and . So, the factored form is .
STEP 6
For , and . So, the factored form is .
STEP 7
For , and . So, the factored form is .
STEP 8
For , and . So, the factored form is .
STEP 9
For , and . So, the factored form is .
STEP 10
For , it is not a difference of squares because it is a sum, not a difference. So, it cannot be factored using the difference of squares method.
So, the polynomials in their factored forms are , , , , , , and .
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