$(a+b)^4 - (a-b)^4 = 8ab(a^2 + b^2)$
Added by Paul S.
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On the left side, we have (a + b)^4 - (a - 6)^4. Using the binomial theorem, we can expand (a + b)^4 as follows: (a + b)^4 = a^4 + 4a^3b + 6a^2b^2 + 4ab^3 + b^4. Similarly, we can expand (a - 6)^4 as follows: (a - 6)^4 = a^4 - 4a^3(6) + 6a^2(6)^2 - 4a(6)^3 + Show more…
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