Factors of p4-81 are
Factorize p4-81.
We can rewrite p4-81 as p22-92
This is in the form of a2-b2 where a=p2and b=9
We know that a2-b2=(a+b)(a-b)
Substituting the values for a and b, we see that the factors of p4-81 are (p2+9) and (p2-9)
Further, factors of (p2-9) are (p-3)(p+3)
Therefore, the factors of p4-81 are (p2+9) and (p-3)(p+3)