document.write( "Question 282108: -4r squared + 100s squared How do you factor this polynomial\r
\n" ); document.write( "\n" ); document.write( "Is the answer -4(r-5)(r-5s)
\n" ); document.write( "

Algebra.Com's Answer #204862 by richwmiller(17219)\"\" \"About 
You can put this solution on YOUR website!
This is a difference of squares
\n" ); document.write( "a^2-b^2=(a+b)*(a-b)
\n" ); document.write( "-4r^2+100s^2
\n" ); document.write( "lets turn it around
\n" ); document.write( "100s^2-4r^2
\n" ); document.write( "(10s-2r)(10s+2r)
\n" ); document.write( "we could also factor out the 4
\n" ); document.write( "4*(25s^2-r^2)
\n" ); document.write( "4*(5s-r)*(5s+r)
\n" ); document.write( "or
\n" ); document.write( "in its original form
\n" ); document.write( "-4 (r-5s) (r+5s)
\n" ); document.write( "you forgot one of the s's\r
\n" ); document.write( "\n" ); document.write( "so we have several forms
\n" ); document.write( "(10s-2r)(10s+2r)
\n" ); document.write( "4*(5s-r)*(5s+r)
\n" ); document.write( "-4 (r-5s) (r+5s)
\n" ); document.write( "all produce the same when foiled
\n" ); document.write( "
\n" ); document.write( "
\n" );