SOLUTION: Factor polynomial completely. To begin, state which method should be applied as the first step. Then continue and factor polynomial completely.
m^4 – 9n^4
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Question 78159: Factor polynomial completely. To begin, state which method should be applied as the first step. Then continue and factor polynomial completely.
m^4 – 9n^4
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Factor completely:
Do you see this binomial as the difference of two squares?
The difference of two squares can be factored thus:
Applying this to the given binomial, you get:
Now you'll notice that the second parentheses contains the difference of two squares which can be factored, as explained before:
While the sum of two squares can be factored, the factors do entail the use of complex numbers.
So, if you want to factor "completely", you would get:
where:
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