Question

(2x + y) 6 power how to solve binomial theorem

Answer 1

Binomial Theorem is
$(a+b)^n = (_0^n) a^n b^0 + (_1^n) a^{n-1} b^1 + (_2^n)a^{n-2} b^2 +...(_n^n)a^0 b^n$
You need to know Combinations to get the coefficients.
The order of coefficients for n=6 is: (Also obtained from Pascals Triangle)
1,6,15,20,15,6,1
Final Answer
$(2x)^6 + 6(2x)^5 y + 15 (2x)^4 y^2 + 20(2x)^3 y^3 + 15 (2x)^2 y^4 + 6 (2x) y^5 + y^6$

Answer 2

64x^6 + 192x^5y + 240x^4y^2 + 160x^3y^3 +60x^2y^4 +12xy^5 +y^6