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2) Coefficient of u^2v^2 in expansion of (2u - 3v)^4

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Answer

Step-by-step Explanation

In the expansion of variables in a bracket raised to a particular power, we either use the Binomial theorem or the Pascal's triangle.

The Binomial theorem teaches how to use permutaion and combination to obtain the coefficients of each term while the Pascal's triangle presents the coefficient of each term for different integer powers of the variables in a triangular form where the next line of the triangle can be obtained from the previous line just by starting with a 1 and adding two consecutive terms of that previous line and ending with 1.

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