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Mathematics 14 Online
OpenStudy (anonymous):

Factoring

OpenStudy (anonymous):

\[16^4-81\]

OpenStudy (anonymous):

I know its a factor of squares but I am not sure the entire process to get it correct

OpenStudy (mertsj):

\[16^4- 81= 16^4-3^4=(16^2-3^2)(16^2+3^2)\]

OpenStudy (mertsj):

But notice that 16^2-3^2 is still the difference of two squares and so we can factor further:

OpenStudy (mertsj):

\[(16^2-3^2)(16^2+3^2)=(16-3)(16+3)(16^2+3^2)\]

OpenStudy (anonymous):

ok and that is what I got at first but the answer showing on the exam is 2y+3

OpenStudy (mertsj):

Well then I guess you have stated the problem incorrectly because it does not have a y in it.

OpenStudy (anonymous):

ah yeas its 16y^4

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