Question

which row of pascals triangle would you use to expand (2x + 10y)^15? row 10 row 12 row 15 row 25 how many terms are in this expansion? terms

Explanation:

Step1: Recall binomial expansion rule

The binomial expansion of \((a + b)^n\) uses the \(n\) - th row of Pascal's triangle. Here \(a = 2x\), \(b=10y\) and \(n = 15\), so we use row 15 of Pascal's triangle.

Step2: Recall number - of - terms formula

For the binomial expansion of \((a + b)^n\), the number of terms is \(n + 1\). Since \(n=15\), the number of terms is \(15 + 1=16\).

Answer:

Row 15; 16 terms