document.write( "Question 334833: I don't understand why this is the answer to this problem.\r
\n" ); document.write( "\n" ); document.write( " t^4 - 1
\n" ); document.write( " (t^2 + 1) (t + 1) (t - 1)
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Algebra.Com's Answer #239913 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Looking at the expression, $\"t%5E4-1\"$ , it's the difference of two squares which can be factor as,
\n" ); document.write( " $\"t%5E4-1=%28t%5E2-1%29%28t%5E2%2B1%29\"$
\n" ); document.write( "The first expression on the right hand side is also a difference of two squares and can be further factored,
\n" ); document.write( " $\"t%5E2-1=%28t-1%29%28t%2B1%29\"$
\n" ); document.write( "When you put it all together,
\n" ); document.write( " $\"t%5E4-1=%28t-1%29%28t%2B1%29%28t%5E2%2B1%29\"$
\n" ); document.write( " \n" ); document.write( "

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