Solve and explain: 1³-2³+3³-4³+....+9³
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1 cube - 2 cube = -1 ( 1 + 2 + 4 ) = -7 using a3 - b3 factors
3 cube - 4 cube = -1 ( 9 + 12 + 16 ) = - 37
5 cube - 6 cube = -1 ( 25 + 30 + 36 ) = - 91
7 cube - 8 cube = -1 ( 49 + 56 + 64 ) = - 169,
9 cube = 729, so 729 - 304 = 425
Answer = 425
3 cube - 4 cube = -1 ( 9 + 12 + 16 ) = - 37
5 cube - 6 cube = -1 ( 25 + 30 + 36 ) = - 91
7 cube - 8 cube = -1 ( 49 + 56 + 64 ) = - 169,
9 cube = 729, so 729 - 304 = 425
Answer = 425
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