Question #c94ab

1 Answer
Aditya Banerjee.
Oct 4, 2017

The answer is #3x(x-2)#.

Explanation:

Given expression is #(x+1)(x-2)^2#.
Applying chain rule#rarr#

Now, #d/dx(x+1)(x-2) ^2#
#=(x+1)d/dx(x-2)^2+(x-2)d/dx(x+1)#
#=(x+1)color(red)(2.(x-2)^(2-1).d/dx(x-2))+(x-2)^2color(blue)((1+0))#
#=2(x+1)color(red)((x-2)(1-0))+(x-2)^2 #
#=2(x+1)(x-2)+(x-2)^2#
#=(x-2)(2x+2+x-2)# #larr#Taking #(x-2)# common.
#color(green)(=3x(x-2))#. (Answer).

Hope it Helps:)

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