document.write( "Question 75432: Factor the GCF 48x^2y+20xz+12xy+5z \n" ); document.write( "
Algebra.Com's Answer #54132 by tutorcecilia(2152)![]() ![]() You can put this solution on YOUR website! Rearrange (re-group)the terms so that terms with common factors are together] \n" ); document.write( "48x^2y+20xz+12xy+5z \n" ); document.write( "(48x^2y + 12xy) + (20xz + 5z) \n" ); document.write( "12xy(48x^2y + 12xy) + 5z(20xz + 5z) [factor out the GCF amongst each group]\r \n" ); document.write( "\n" ); document.write( "12xy(48x^2y/12xy + 12xy/12xy) + 5z(20xz/5z + 5z/5z) [divide each term by its GCF] \n" ); document.write( "12xy(4x+1)+5z(4x+1) [re-factor out the next GCF ((4x+1) \n" ); document.write( "(12xy+5z)(4x+1)\r \n" ); document.write( "\n" ); document.write( ". \n" ); document.write( "Check by multiplying the factors. You should get the original expression. \n" ); document.write( " \n" ); document.write( " |