A-Level Maths OCR B (MEI) (H640)

#6.4 Binomial expansion (any rational n)

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Be able to write (a+bx)n(a + bx)^n in the form an(1+bxa)na^n\Bigg(1+\dfrac{bx}{a}\Bigg)^n and hence expand (a+bx)n(a + bx)^n.

*∣bxa∣<1\Big|\dfrac{bx}{a}\Big| < 1 when nn is not a positive integer.

Excludes: Proof of convergence.*

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