Answer to Question #231800 in Complex Analysis for Praise Johnwest

Question

Prove ∇^2{FG} = F ∇^2 F + 2∇F•∇G

Answer 1

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