Question

practice expanding binomials using pascals triangle
how many terms are there in the expansion of (2x + 10y)^15?
terms

Explanation:

Step1: Recall binomial - expansion term - number formula

The number of terms in the expansion of \((a + b)^n\) is \(n + 1\).

Step2: Identify the value of \(n\)

In the binomial \((2x+10y)^{15}\), \(n = 15\).

Step3: Calculate the number of terms

Using the formula \(n + 1\), we substitute \(n = 15\) to get \(15+1=16\).

Answer:

16