document.write( "Question 140006: Factor: y2 – 64
\n" ); document.write( "A) (y – 8)(y + 8)
\n" ); document.write( "B) (y – 8)2
\n" ); document.write( "C) (8 – y)(8 + y)
\n" ); document.write( "D) The expression is prime.
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #102034 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"y%5E2-64\" Start with the given expression\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28y%29%5E2-64\" Rewrite \"y%5E2\" as \"%28y%29%5E2\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28y%29%5E2-%288%29%5E2\" Rewrite \"64\" as \"%288%29%5E2\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Now use the difference of squares. Remember, the difference of squares formula is \"A%5E2-B%5E2=%28A%2BB%29%28A-B%29\" where in this case \"A=y\" and \"B=8\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"y%5E2-64=%28y%2B8%29%28y-8%29\" Plug in \"A=y\" and \"B=8\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So the expression\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"y%5E2-64\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "factors to\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28y%2B8%29%28y-8%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Notice that if you foil the factored expression, you get the original expression. This verifies our answer.
\n" ); document.write( "
\n" );