Problem 7: Pascal's Triangle and Binomial Expansion

Okay, Ridoskynation, let's break down these problems.

: Pascal's Triangle and Binomial Expansion

a) Write out the Pascal's triangle for $(a+b)^0$ to $(a+b)^{10}$.
Pascal's triangle provides the coefficients for binomial expansions. Each number is the sum of the two numbers directly above it.

Row 0 ($n=0$): 1
Row 1 ($n=1$): $1 \quad 1$
Row 2 ($n=2$): $1 \quad 2 \quad 1$
Row 3 ($n=3$): $1 \quad 3 \quad 3 \quad 1$