document.write( "Question 407342: I really need help please, \r
\n" ); document.write( "\n" ); document.write( "Factor the expression 81x^2-54xy+9y^2 into a product of bionmials. Show all work. \n" ); document.write( "

Algebra.Com's Answer #287158 by katealdridge(100) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"81x%5E2-54xy%2B9y%5E2\"$ First factor out the GCF 9.
\n" ); document.write( " $\"9%289x%5E2-6xy%2By%5E2%29\"$ Then factor this polynomial, which is considerably easier.
\n" ); document.write( " $\"9%283x-y%29%283x-y%29\"$ Look for 2 numbers that mult to 9x^2: 3x and 3x (it could be 9x and x, but it doesn't work out), they go in the first spot in the (). Then look for 2 numbers that mult to get y^2: y and y, they go in the last spot in the (). Then both factors get negative signs because if the last sign in the polynomial is + then the signs are the same and then you use whatever the first sign was, -. Also check by FOILing it back to make sure you factored it right.
\n" ); document.write( "I'm assuming you know something about factoring. If not, then this is not the one to learn on. \n" ); document.write( "

\n" );