Math Problem Statement
In the expansion of X to the power of seven parentheses X to the power of 4/2+ K over X to the power three parentheses to the power of seven the constant term is 168 find the value of K
Solution
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Math Problem Analysis
Mathematical Concepts
Binomial Expansion
Exponentiation
Constant Term Identification
Formulas
(a + b)^n = ∑ (n choose r) a^(n-r) b^r
General term: Tr = (n choose r) a^(n-r) b^r
Exponent simplification: x^(4(7-r)) / x^(3r) = x^(28 - 7r)
Theorems
Binomial Theorem
Suitable Grade Level
Grades 10-12
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