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

1. Grazes Group Title

$y ^{8}$ $(2x+y^{2})^{6}$

2. Rogue Group Title

Binomial theorem ;)

3. Grazes Group Title

Would it turn out to be $y ^{8}=(y ^{2})^{U}$

4. Grazes Group Title

My class hasn't covered logarithms yet, so I'm not sure if it's a guess 'n check type of thing.

5. Rogue Group Title

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?

6. Grazes Group Title

I guess you could make an equation out of the exponents 8=2U...

7. robtobey Group Title

$\left(2 x+y^2\right)^6=64 x^6+192 x^5 y^2+240 x^4 y^4+160 x^3 y^6+60 x^2 y^8+12 x y^{10}+y^{12}$