Question

expanding binomials using pascal’s triangle which row of pascal’s triangle would you use to expand ((2x + 10y)^{15})? row 15 row 12 row 0 row 25

Explanation:

Step1: Recall Pascal's Triangle for Binomial Expansion

For a binomial \((a + b)^n\), the coefficients of the expansion are given by the \(n\)-th row of Pascal's triangle (where row numbering starts from row 0 for \((a + b)^0\)).

Step2: Identify the exponent \(n\) in the given binomial

The given binomial is \((2x + 10y)^{15}\), so here \(n = 15\).

Step3: Determine the row of Pascal's Triangle

Since the exponent \(n\) is 15, we use the 15th row of Pascal's triangle (remembering that row number corresponds to the exponent \(n\) in \((a + b)^n\)).

Answer:

row 15