Mathematics

Mathematics

Problem

Consider the expansion (2 x+13x)18(\sqrt{2}\,x+\dfrac{1}{\sqrt{3}x})^{18}. a. (i) Find the value of rr that yields the term independent of xx. b. (ii) Calculate the exact value of the independent term. c. (iii) Using your result, evaluate the numerical value of the independent term correct to two decimal places.

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