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Find the Coefficient of X5 in the Product (1 + 2x)6 (1 – X)7 Using Binomial Theorem.

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Question

Find the coefficient of x5 in the product (1 + 2x)6 (1 – x)7 using binomial theorem.

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Solution

Using Binomial Theorem, the expressions, (1 + 2x)6 and (1 – x)7, can be expanded as

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