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>> No.11139868 [View]
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11139868

I don't understand this answer. The question is when does [math] (x+y)^5 = x^5 + y^5 [/math], and I get it ok up until the line below "Substracting this equation from" in pic related. I know that
[math] (x+y)^5 = (x+y)^2(x+y)^2 [/math], but I don't know why I'm supposed to substract [math] x^3 + y^3 + 2x^2y + 2xy^2 [/math] from it, and I don't really get what proceeds after that. Any tips?

the question is from Spivak's calc, chapter 1, problme 16d

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