document.write( "Question 1172440: a-b=25,a+b=81,8ab(a+1/a)^2=? \n" ); document.write( "

Algebra.Com's Answer #797465 by ikleyn(52848) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "\r\n" );
document.write( "The strategy of solution is in two steps.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "First step is to solve the system of the two given equations\r\n" );
document.write( "\r\n" );
document.write( "    a - b = 25\r\n" );
document.write( "\r\n" );
document.write( "    a + b = 81.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "It is VERY EASY: simply add the equations to get\r\n" );
document.write( "\r\n" );
document.write( "    2a = 25 + 81 = 106,\r\n" );
document.write( "\r\n" );
document.write( "which implies  a = 106/2 = 53,  and then  b = 81 - a = 81 - 53 = 28.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The second step is to calculate  (8ab)*(a + 1/a)^2.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "It is just an elementary job, which I leave to you.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );