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Calc/stats help please

If anyone could explain how this is done step by step, it would be greatly appreciated.

Genotypes AA, Aa, and aa occur with probabilities [θ², 2θ(1-θ), (1-θ)²]. A multinomial sample of size n has frequencies (n₁, n₂, n₃) of these three genotypes.

a) The likelihood of θ, L(θ), is θ^{2n₁ + n₂} • 2^n₂ • (1 - θ)^{n₂ + 2n₃}.
Show that the negative of the second derivative of L(θ) with respect to θ² (meaning [-∂²L(θ)] / ∂θ²] ) is equal to [(2n₁ + n₂)/θ²] + [(n₂ + 2n₃)/(1-θ)²] and that its expectation is 2n/[θ(1-θ)]. Use this to obtain an asymptotic standard error of θ.

b) Explain how to test whether the probabilities truly have this pattern.

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