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Use Pascal's Triangle to complete the expansion of (v+w)3(v + w)^3. \newlinev3+v^3 + ____v2w+3vw2+w3v^2w + 3vw^2 + w^3

Full solution

Q. Use Pascal's Triangle to complete the expansion of (v+w)3(v + w)^3. \newlinev3+v^3 + ____v2w+3vw2+w3v^2w + 3vw^2 + w^3
  1. Pascal's Triangle Coefficients: Pascal's Triangle for the third row is 1,3,3,11, 3, 3, 1. These numbers are the coefficients for the expansion.
  2. Second Term Coefficient: The second term in the expansion will have the coefficient 33 from Pascal's Triangle, so it's 3v2w3v^2w.
  3. Full Expansion: Now, write down the full expansion using the coefficients: v3+3v2w+3vw2+w3v^3 + 3v^2w + 3vw^2 + w^3.

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