In the expansion of $$\(\left(k x+\frac{2}{x}\right)^{4}\)$$, where $$\(k\)$$ is a positive constant, the term independent of $$\(x\)$$ is equal to 150 . Find the value of $$\(k\)$$ and hence determine the coefficient of $$\(x^{2}\)$$ in the expansion. ................................................................................................................................................................ . ................................................................................................................................................................ . ................................................................................................................................................................ . ................................................................................................................................................................ . ................................................................................................................................................................ . ................................................................................................................................................................ . ................................................................................................................................................................ . ................................................................................................................................................................ . ................................................................................................................................................................ . ................................................................................................................................................................ . ................................................................................................................................................................ . ................................................................................................................................................................ . ................................................................................................................................................................ . ................................................................................................................................................................ . ................................................................................................................................................................ . ................................................................................................................................................................ . ................................................................................................................................................................ . ................................................................................................................................................................ . ................................................................................................................................................................ . ................................................................................................................................................................ . ................................................................................................................................................................ . ................................................................................................................................................................ . ................................................................................................................................................................ . ................................................................................................................................................................ . ................................................................................................................................................................ . ................................................................................................................................................................ .

Mathematics
IGCSE&ALevel
CAIE
Exam No:9709_w24_qp_11 Year:2024 Question No:1

Answer:



Knowledge points:

1.6.1 use the expansion of , where is a positive integer (Including the notations and n!) (Knowledge of the greatest term and properties of the coefficients are not required.)

Solution:

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