Question

Use the Banh nominal theorem to determine the expanded form of the by nominal expression

Answer 1

Apply the given theorem to find the expanded form of the given binomial, in this case n is 4:

`\begin{gathered} =x^4+(4)/(1)x^(4-1)y+(4(4-1))/(2)x^(4-2)y^2+(4(4-1)(4-2))/(6)x^(4-3)y^3+y^4 \\ =x^4+4x^3y+6x^2y^2+4xy^3+y^4 \end{gathered}`

The correct answer is this:

`x^4+4x^3y+6x^2y^2+4xy^3+y^4^{}^{}^{}`