Expand a power of a binomial using Pascal's triangle:

\((V + w)^4\)

( v + w ) 4 = v 4 + 4 v 3 w + 6 v 2 w 2 + 4 v w 3 + w 4

Answered by konrad509 | 2024-06-10

To expand ( V + w ) 4 using Pascal's triangle, we use the coefficients from row 4 of the triangle: 1, 4, 6, 4, 1. This results in the expansion: V 4 + 4 V 3 w + 6 V 2 w 2 + 4 V w 3 + w 4 . Each term represents the combinations of V and w selected from the expression.
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Answered by Anonymous | 2024-12-26