Question

Determine the first term of the binomial expansion (x + y)4.

Answer 1

The first term is x⁴.

_____

The remaining terms are +4x³y + 6x²y² +4xy³ +y⁴.

Answer 2

$(a + b)^n=a^n+\binom{n}{1}a^{n-1}b+\binom{n}{2}a^{n-2}b^2+...$

So,

The first term of the binomial expansion $(x + y)^4$ is

$(x + y)^4 = x^4 + \binom{4}{1}x^{4-1}y+...$

We only need the first term, so, the first term of the binomial expansion $(x + y)^4$ is $x^4$