document.write( "Question 1044832: (9-x^-2)/(3+x^-1) ?
\n" );
document.write( "a) 3x-1/x^2
\n" );
document.write( "b) 3x+1/x^2
\n" );
document.write( "c) 3x+1/x
\n" );
document.write( "d) x(3x-1)
\n" );
document.write( "e) 3x-1/x \n" );
document.write( "
Algebra.Com's Answer #660226 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! It is E. Here is why. \n" ); document.write( "Write the numerator as 9-(1/x^2). Common denominator of x^2 and get (9x^2-1)/x^2 and write it as \n" ); document.write( "(3x+1)(3x-1)/x^2, a difference of squares. This is the numerator. \n" ); document.write( "The denominator is 3+(1/x). That is (3x+1)/x \n" ); document.write( "We cancel a (3x+1) in both and an x in both. \n" ); document.write( "That leaves (3x-1)/x, or E. \n" ); document.write( "Sometimes you want negative exponents, other times you want to write them as fractions. Here, the latter works better. \n" ); document.write( " |