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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 Pascal's Triangle: Identify the row of Pascal's Triangle to determine the coefficients for the expansion of . The row of Pascal's Triangle is .
- Write Expansion Terms: Write out the terms of the expansion using the binomial theorem and the coefficients from Pascal's Triangle.The expansion will have the form: .
- Calculate Each Term: Calculate each term of the expansion.st term: nd term: rd term: th term: th term:
- Combine Terms for Expansion: Combine all the terms to write the final expanded form of ^{}. The expanded form is: \({\(81\)y^\(4\) + \(540\)y^\(3\)z + \(1350\)y^\(2\)z^\(2\) + \(1500\)yz^\(3\) + \(625\)z^\(4\)\}).
