document.write( "Question 405370: factor each polynomial, if possible. if the polynomial cannot be factored, write prime. 1/4n squared - 9/16r squared \n" ); document.write( "

Algebra.Com's Answer #286313 by algebrahouse.com(1659) $\"\"$ $\"About$

You can put this solution on YOUR website!
\"factor each polynomial, if possible. if the polynomial cannot be factored, write prime. 1/4n squared - 9/16r squared\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "(1/4)n^2 - (9/16)r^2 is a difference of two squares,
\n" ); document.write( "it is in the form a^2 - b^2 and factors into the form (a + b)(a - b)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "In (1/4)n^2 - (9/16)r^2,
\n" ); document.write( "a^2 = (1/4)n^2.......so a = (1/2)n {took square root of (1/4)n^2}
\n" ); document.write( "b^2 = (9/16)r^2......so b = (3/4)r {took square root of (9/16)r^2}\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Therefore, (1/4)n^2 - (9/16)r^2
\n" ); document.write( "= (1/2n + 3/4r)(1/2n - 3/4r)
\n" ); document.write( "www.algebrahouse.com \n" ); document.write( "

\n" );