document.write( "Question 1086718: factor by grouping 4m^2n^2-25h^2n^2-4m^2+25h^2 show solution \n" ); document.write( "
Algebra.Com's Answer #700928 by Edwin McCravy(20065)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "\"4m%5E2n%5E2-25h%5E2n%5E2-4m%5E2%2B25h%5E2\"\r\n" );
document.write( "\r\n" );
document.write( "Factor n² out of the first two terms:\r\n" );
document.write( "\r\n" );
document.write( "\"n%5E2%284m%5E2-25h%5E2%29-4m%5E2%2B25h%5E2\"\r\n" );
document.write( "\r\n" );
document.write( "Factor -1 out of the last two terms:\r\n" );
document.write( "\r\n" );
document.write( "\"n%5E2%284m%5E2-25h%5E2%29-1%284m%5E2-25h%5E2%29\"\r\n" );
document.write( "\r\n" );
document.write( "Factor out the common factor (4m²-25h²)\r\n" );
document.write( "\r\n" );
document.write( "\"%284m%5E2-25h%5E2%29%28n%5E2-1%29\"\r\n" );
document.write( "\r\n" );
document.write( "Since each of the parentheses contains the difference\r\n" );
document.write( "of two squares we can factor each as the product of the\r\n" );
document.write( "difference and sum of the square roots:\r\n" );
document.write( "\r\n" );
document.write( "\"%282m-5h%5E%22%22%29%282m%2B5h%5E%22%22%29%28n%5E%22%22-1%29%28n%5E%22%22%2B1%29\"\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );