document.write( "Question 1096673: If x=a-b and y=b-c, show that (a-c)(a+c-2b) = x^2-y^2 \n" ); document.write( "

Algebra.Com's Answer #711089 by rothauserc(4718) $\"\"$ $\"About$

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x = a-b and y = b-c, then
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\n" ); document.write( "a = x+b, b = y+c and c = b-y
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\n" ); document.write( "(a-c)(a+c-2b) = (x+b-(b-y))(x+b-b-y-2b) =
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\n" ); document.write( "(x+y)(x-y) = x^2-y^2
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