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Use Pascal's Triangle to expand . Express your answer in simplest form.Answer:
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Q. Use Pascal's Triangle to expand . Express your answer in simplest form.Answer:
- Identify Row of Pascal's Triangle: Identify the row of Pascal's Triangle that corresponds to the exponent . The third row of Pascal's Triangle (starting with row ) is .
- Write Binomial Coefficients: Write out the terms using the binomial coefficients from Pascal's Triangle.The expansion of using the binomial theorem is given by:
- Substitute Variables: Substitute with and with in the expansion.The terms become:
- Calculate Each Term: Calculate each term.
- Combine Terms: Combine the terms to get the final expanded form.The expanded form is:
