How do you differentiate $x(x-2)^2$ ?

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Answer 1 · 2015-04-14T12:48:06

Use the Product Rule and the Chain Rule to deal with $()^2$ :
$y´=1(x-2)^2+2x(x-2)=$
$=x^2-4x+4+2x^2-4x=3x^2-8x+4$

How do you differentiate x(x-2)^2x(x-2)^2?