**Question**

**Introduction**

This problem is taken from the Haese
textbook for International Baccalaureate, 3

^{rd}Edition, page 262. It looks pretty daunting doesn’t it? Where do we even begin? The key to solving this problem is to realise that the binomial coefficients are coefficients of (numbers attached to) certain powers of*x*in the expansion. The question is: which power or powers?
Before we go into that, let us review some
important relevant facts.

**Reminders**

**Solution**

**Final Remarks**

This problem was solved by using the
symmetry property and treating binomial coefficients as coefficients of certain
powers of

*x*. We also worked backwards by noting that the RHS of the equation to be proven is the coefficient of*x*. This suggests that we compare this with the coefficients of^{n}*x*on the LHS.^{n}
H03. Make a systematic list

H04. Look for pattern(s)

H05. Work backwards

H09. Restate the problem in
another way

H13* Use Equation / write a
Mathematical Sentence

**Suitable Levels**

*****International Baccalaureate Mathematics (HL)

*****GCE ‘A’ Levels H2 Mathematics

* other syllabuses that involve complex
numbers and polynomials

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