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Question

43 - 33 = ___ + 3 × 4 ×3.


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Solution

43 - 33 = a + 4 × 3 ×3​
This one is based on the following identities.
(ab)3 = a3 - b3 - 3ab (a - b)
(43)3 = 43 - 33 - 3 × 4 × 3
1 = 43 - 33 - 3 × 4 × 3
43 - 33 = 1 + 3 × 4 × 3
a = 1


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