document.write( "Question 223694: the difference between the cubes of two consecutive even numbers is 296.find the number? \n" ); document.write( "

Algebra.Com's Answer #167190 by Alan3354(69443) $\"\"$ $\"About$

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(n+2)^3 - n^3 = 296
\n" ); document.write( " $\"n%5E3+%2B+6n%5E2+%2B+12n+%2B+8+-+n%5E3+=+296\"$
\n" ); document.write( " $\"6n%5E2+%2B+12n+-+288+=+0\"$
\n" ); document.write( " $\"n%5E2+%2B+2n+-+48+=+0\"$
\n" ); document.write( "(n+8)*(n-6) = 0
\n" ); document.write( "n = 6 ---> 6 and 8
\n" ); document.write( "n = -8 --> -8 and -6
\n" ); document.write( " \n" ); document.write( "

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