Prove ∇^2{FG} = F ∇^2 F + 2∇F•∇G
∇2(FG)=∇.∇(FG)=∇.[F∇G+G∇F]=∇F.∇G+F∇2G+∇G.∇F+G∇2F=F∇G+G∇F+2∇F.∇GNOTE:- I correct the question.∇^2(FG)\\ =∇.∇(FG)\\ =∇.[F∇G+G∇F]\\ =∇F.∇G+F∇^2G+∇G.∇F+G∇^2F\\ =F∇G+G∇F+2∇F.∇G\\ \text{NOTE:- I correct the question.}∇2(FG)=∇.∇(FG)=∇.[F∇G+G∇F]=∇F.∇G+F∇2G+∇G.∇F+G∇2F=F∇G+G∇F+2∇F.∇GNOTE:- I correct the question.
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