document.write( "Question 290613: 3a^2/a-b minus 3b^2-6ab/b-a \n" ); document.write( "

Algebra.Com's Answer #210307 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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$\"3a%5E2%2F%28a-b%29\"$ - $\"%283b%5E2-6ab%29%2F%28b-a%29\"$
\n" ); document.write( "Factor out -1 to make the denominators the same
\n" ); document.write( " $\"3a%5E2%2F%28a-b%29\"$ - $\"%28%283b%5E2-6ab%29%29%2F%28-1%28a-b%29%29\"$
\n" ); document.write( "the minus one changes the sign
\n" ); document.write( " $\"3a%5E2%2F%28a-b%29\"$ + $\"%28%283b%5E2-6ab%29%29%2F%28%28a-b%29%29\"$
\n" ); document.write( "Factor out 3
\n" ); document.write( " $\"%283a%5E2%2B3b%5E2-6ab%29%2F%28a-b%29\"$ = $\"%283%28a%5E2%2Bb%5E2-2ab%29%29%2F%28a-b%29\"$
\n" ); document.write( "Can be written
\n" ); document.write( " $\"%283%28a%5E2-2ab%2Bb%5E2%29%29%2F%28a-b%29\"$
\n" ); document.write( "Factor and cancel
\n" ); document.write( " $\"%283%28a-b%29%28a-b%29%29%2F%28a-b%29\"$ = 3(a-b) \n" ); document.write( "

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