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Grazes
Group Title
Find the term that contains y^8 in the expansion of (2x+y^2)^6
 one year ago
 one year ago
Grazes Group Title
Find the term that contains y^8 in the expansion of (2x+y^2)^6
 one year ago
 one year ago

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Grazes Group TitleBest ResponseYou've already chosen the best response.0
\[y ^{8}\] \[(2x+y^{2})^{6}\]
 one year ago

Rogue Group TitleBest ResponseYou've already chosen the best response.0
Binomial theorem ;)
 one year ago

Grazes Group TitleBest ResponseYou've already chosen the best response.0
Would it turn out to be \[y ^{8}=(y ^{2})^{U}\]
 one year ago

Grazes Group TitleBest ResponseYou've already chosen the best response.0
My class hasn't covered logarithms yet, so I'm not sure if it's a guess 'n check type of thing.
 one year ago

Rogue Group TitleBest ResponseYou've already chosen the best response.0
Banging it out and multiplying will be extremely tedious. There's a simpler way to do it by using binomial theorem, but that is far too much explaining for now if you haven't already learned it. Does anyone have any other ideas?
 one year ago

Grazes Group TitleBest ResponseYou've already chosen the best response.0
I guess you could make an equation out of the exponents 8=2U...
 one year ago

robtobey Group TitleBest ResponseYou've already chosen the best response.0
\[\left(2 x+y^2\right)^6=64 x^6+192 x^5 y^2+240 x^4 y^4+160 x^3 y^6+60 x^2 y^8+12 x y^{10}+y^{12} \]
 one year ago
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