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Use Pascal's Triangle to complete the expansion of . ____
Full solution
Q. Use Pascal's Triangle to complete the expansion of . ____
- Pascal's Triangle Coefficients: Pascal's Triangle for the th row is . These numbers are the coefficients for the expansion.
- Second Term Expansion: The second term in the expansion is , using the second coefficient from Pascal's Triangle.
- Third Term Given: The third term is already given as , which matches the third coefficient from Pascal's Triangle.
- Fourth Term Expansion: The fourth term in the expansion is , using the fourth coefficient from Pascal's Triangle.
- Final Expansion Result: The expansion of is .
