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If sin4α+4cos4β+2=4√2 sinαcosβ;α,β∈[0,π], then cos(α+β)−cos(α−β) is equal to :

Question

If sin4α+4cos4β+2=4√2 sinαcosβ;α,β∈[0,π], then cos(α+β)−cos(α−β) is equal to :

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