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Find the coefficient of a^5b^7in(a-2b)^(...

Find the coefficient of `a^5b^7`in`(a-2b)^(12)`

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To find the coefficient of \( a^5b^7 \) in the expansion of \( (a - 2b)^{12} \), we can use the Binomial Theorem. The Binomial Theorem states that: \[ (x + y)^n = \sum_{r=0}^{n} \binom{n}{r} x^{n-r} y^r \] In our case, we can identify \( x = a \), \( y = -2b \), and \( n = 12 \). ...
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