Final answer:
The binomial expansion of (x+y)¹) follows the binomial theorem, expressing terms that consist of increasing powers of y and decreasing powers of x, which can simplify to a very accurate approximation at low velocities.
Step-by-step explanation:
In the context of the binomial expansion of (x+y)¹, we often observe a sum of terms where each term consists of a coefficient multiplied by x raised to a power decreasing from n to 0 and y raised to a power increasing from 0 to n. As per the binomial theorem, this can be represented as x&¹) + nx&¹-¹)y + ½n(n-1)x&¹-²)y² + ..., and so on. At low velocities, the terms involving higher powers of y could be very small and provide a very accurate approximation to the actual value.