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Factorise: x(x-y)3 + 3x2y(x-y) ?

Asked by nisha_vini29 20th March 2017, 5:45 PM
Answered by Expert
Answer:

H Nisha,

Please check if this is what your expression meant. Please use the symbol ^ for raise otherwise it becomes difficult for us to figure out the question.

I have solved this as follows. 

begin mathsize 16px style straight x left parenthesis straight x minus straight y right parenthesis cubed space plus space 3 straight x 2 straight y left parenthesis straight x minus straight y right parenthesis
equals straight x left parenthesis straight x minus straight y right parenthesis cubed space plus space 3 straight x squared straight y left parenthesis straight x minus straight y right parenthesis
equals straight x left parenthesis straight x minus straight y right parenthesis cubed space plus space 3 straight x squared straight y left parenthesis straight x minus straight y right parenthesis
equals left parenthesis straight x minus straight y right parenthesis left square bracket straight x left parenthesis straight x minus straight y right parenthesis squared space plus space 3 straight x squared straight y right square bracket
equals left parenthesis straight x minus straight y right parenthesis left square bracket straight x cubed plus xy squared minus 2 straight x squared straight y space plus space 3 straight x squared straight y right square bracket
equals left parenthesis straight x minus straight y right parenthesis left square bracket straight x cubed plus xy squared minus straight x squared straight y right square bracket
equals straight x left parenthesis straight x minus straight y right parenthesis left square bracket straight x squared plus straight y squared minus xy right square bracket end style

Let us know if you have any doubts regarding this.

Answered by Expert 20th March 2017, 5:52 PM
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