document.write( "Question 27477: waht is the product of {x/4+2y/3}{x/4-2y/3} \n" ); document.write( "

Algebra.Com's Answer #14919 by sdmmadam@yahoo.com(530) $\"\"$ $\"About$

You can put this solution on YOUR website!
waht is the product of {x/4+2y/3}{x/4-2y/3}
\n" ); document.write( "On studying the problem, two quantities x/4 and 2y/3 occur in both the brackets.
\n" ); document.write( "While the first bracket is the sum of the two quantities,
\n" ); document.write( "the second bracket is the difference.
\n" ); document.write( "This should remind us of the product (a+b)(a-b) which is a^2 - b^2 (either by direct multiplication or by formula)
\n" ); document.write( "Thus using (a+b)(a-b)= a^2 - b^2
\n" ); document.write( "we have {x/4+2y/3}{x/4-2y/3}
\n" ); document.write( "= (x/4)^2 - (2y/3)^2 [here a= (x/4) and b = (2y/3)]
\n" ); document.write( "= x^2/16 - 4y^2/9
\n" ); document.write( " \n" ); document.write( "

\n" );