To expand \((a+b)^3\) using Pascal’s Triangle, we first note the coefficients from the third row of Pascal's Triangle, which are \(1, 3, 3, 1\).
Using these coefficients, the expansion of \((a+b)^3\) can be written as:
\[ 1 \cdot a^3 \cdot b^0 + 3 \cdot a^2 \cdot b^1 + 3 \cdot a^1 \cdot b^2 + 1 \cdot a^0 \cdot b^3 \]
This simplifies to:
\[ a^3 + 3a^2b + 3ab^2 + b^3 \]
Thus, the correct response is:
a³ + 3a²b + 3ab² + b³