4.2 Expanding (a + bx)^n

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Question 8

In a study of harmonic resonances, a physicist models the fundamental dampening constant $D\,$ as the term independent of $\omega\,$ in the binomial expansion of $P(ω)=(32ω2−4ω3)10P(\omega) = \left( \dfrac{3}{2}\omega^2 - \dfrac{4}{\omega^3} \right)^{10}$ . Calculate the exact value of $D$ .

[4]

4.2 Expanding (a + bx)^n

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Question 8

In a study of harmonic resonances, a physicist models the fundamental dampening constant $D\,$ as the term independent of $\omega\,$ in the binomial expansion of $P(ω)=(32ω2−4ω3)10P(\omega) = \left( \dfrac{3}{2}\omega^2 - \dfrac{4}{\omega^3} \right)^{10}$ . Calculate the exact value of $D$ .

[4]

4.2 Expanding (a + bx)^n

Question 8

Markscheme

4.2 Expanding (a + bx)^n

Question 8

Markscheme

4.2 Expanding (a + bx)^n

Question 8

4.2 Expanding (a + bx)^n Questions

4.2 Expanding (a + bx)^n

Question 8

4.2 Expanding (a + bx)^n Questions