document.write( "Question 1115972: If a/b = c/d = k
\n" ); document.write( "Find the value of (3a^2-ac+c^2)/(3b^2-bd+d2) in terms of k. a/b=k;i.e a=bk, c/d=k, i.e c=dk.
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Algebra.Com's Answer #730859 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Find the value of $\"%283a%5E2-ac%2Bc%5E2%29%2F%283b%5E2-bd%2Bd2%29\"$ in terms of k. a/b=k;i.e a=bk, c/d=k, i.e c=dk.
\n" ); document.write( "In the numerator, replace a with bk, replace c with with dk
\n" ); document.write( " $\"3%28bk%29%5E2+-+%28bk%29%28dk%29+%2B+%28dk%29%5E2\"$
\n" ); document.write( " $\"3b%5E2k%5E2+-+bdk%5E2+%2B+d%5E2k%5E2\"$
\n" ); document.write( "Factor out k^2
\n" ); document.write( " $\"k%5E2%283b%5E2+-+bd+%2B+d%5E2%29\"$
\n" ); document.write( "with the denominator
\n" ); document.write( " $\"k%5E2%283b%5E2+-+bd+%2B+d%5E2%29%2F%283b%5E2-bd%2Bd%5E2%29\"$
\n" ); document.write( "fraction cancels, left with
\n" ); document.write( " $\"k%5E2\"$ ; k = 1
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