Question

use pascals triangle to expand $(y + z)^{2}$.

Explanation:

Step1: Find the row in Pascal's Triangle

For \((a + b)^n\), we use the \((n + 1)\) - th row of Pascal's Triangle. For \(n=2\), the third row of Pascal's Triangle is \(1\quad2\quad1\).

Step2: Apply the binomial expansion formula \((a + b)^n=\sum_{k = 0}^{n}C(n,k)a^{n - k}b^{k}\)

Here \(a = y\), \(b = z\) and \(n = 2\).

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Answer:

\(y^{2}+2yz + z^{2}\)