Question

Factoring

Answer 1

\[16^4-81\]

Answer 2

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

Answer 3

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

Answer 4

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

Answer 5

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

Answer 6

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

Answer 7

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

Answer 8

ah yeas its 16y^4