Question 150646
{{{p^4 - 1}}} Start with the given expression.



{{{(p^2)^2 - (1)^2}}} Rewrite {{{p^4}}} as {{{(p^2)^2}}}. Rewrite {{{1}}} as {{{(1)^2}}}



{{{(p^2-1)(p^2+1)}}} Factor by use of the difference of squares.



{{{(p-1)(p+1)(p^2+1)}}} Factor {{{p^2-1}}} by use of the difference of squares.



So {{{p^4 - 1}}} completely factors to {{{(p-1)(p+1)(p^2+1)}}}