document.write( "Question 78158: Factor the following binomial.
\n" ); document.write( "25x^2 – 81y^2
\n" ); document.write( "Factors:
\n" ); document.write( "1,3,5,9,15,25,27,45,75,81,135,225,405,675,2025,
\n" ); document.write( "-1,-3,-5,-9,-15,-25,-27,-45,-75,-81,-135,-225,-405,-675,-2025,
\n" ); document.write( "-2025
\n" ); document.write( "(-1)*(2025)=-2025
\n" ); document.write( "(-3)*(675)=-2025
\n" ); document.write( "(-5)*(405)=-2025
\n" ); document.write( "(-9)*(225)=-2025
\n" ); document.write( "(-15)*(135)=-2025
\n" ); document.write( "(-25)*(81)=-2025
\n" ); document.write( "(-27)*(75)=-2025
\n" ); document.write( "(-45)*(45)=-2025
\n" ); document.write( "a=25,m=45, and n=-45
\n" ); document.write( "Did the other stuff and do I end up with this or am I wrong?
\n" ); document.write( " (5x+9y) * (5x-9y)\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #56052 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
Factor the binomial:
\n" ); document.write( "\"25x%5E2-81y%5E2\" This is the difference of two squares:\"%285x%29%5E2-%289y%29%5E2\".
\n" ); document.write( "The difference of two squares can be factored thus:
\n" ); document.write( "\"A%5E2-B%5E2+=+%28A%2BB%29%28A-B%29\" Applying this to the given binomial, you get:
\n" ); document.write( "\"25x%5E2-81y%5E2+=+%285x%2B9y%29%285x-9y%29\" which is exactly what your last line shows.
\n" ); document.write( "
\n" ); document.write( "
\n" );