TMUA 2016 Paper 1 Q19 — Worked Solution

P1·Algebra & Surds·6.5Official · 2016 · Q19

multinomial-expansionbinomial-expansioncoefficient-comparison

The coefficient of

x^{3}

in the expansion of

(1 + 2 x + 3 x^{2})^{6}

is equal to twice the coefficient of

x^{4}

in the expansion of

(1 - a x^{2})^{5}

. Find all possible values of the constant

a

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