document.write( "Question 30752: { { { 5/p^2 - 5/q^2 / 1/p + 1/q } } } \n" ); document.write( "

Algebra.Com's Answer #17472 by sdmmadam@yahoo.com(530) $\"\"$ $\"About$

You can put this solution on YOUR website!
(5/p^2 - 5/q^2) / (1/p + 1/q)
\n" ); document.write( "=5[(q^2-p^2)/(p^2q^2)]divided by [(q+p)/(pq)]
\n" ); document.write( "Taking 5 out and finding the lcm in the part before the division symbol and finding the lcm in the part after the symbol
\n" ); document.write( "=5[(q+p)(q-p)/(p^2q^2)]divided by [(q+p)/(pq)]
\n" ); document.write( "= 5[(q+p)(q-p)/(p^2q^2)]X [(pq)/(q+p)]
\n" ); document.write( "When division symbol is replaced by mulitplication symbol the fraction that is after the symbol is reciprocated that is the original fraction after the symbol is replaced [1/the fraction]
\n" ); document.write( "= 5(q-p)/pq (Cancelling (p+q) and pq) \n" ); document.write( "

\n" );