Bates Hobbs
06/26/2023 · Primary School
stion \( B \) : (i) Find in ascending pawel of \( x \), the first 3 terms in the expansion of \( \left(2-\frac{x}{4}\right)^{6} \) (ii) Hence find the term independent of \( x \) in the expansion of \( \left(4+\frac{1}{x}+\frac{1}{x^{2}}\right)\left(2-\frac{1}{4}\right)^{6} \)
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The first three terms in ascending powers of \( x \) in the expansion of \( \left(2 - \frac{x}{4}\right)^{6} \) are \( 64, -48x, 15x^2 \). The term independent of \( x \) in the expansion of \( \left(4 + \frac{1}{x} + \frac{1}{x^2}\right)\left(2 - \frac{1}{4}\right)^{6} \) is \( 223 \).
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