SOLUTION: what is the answer for this problem by factoring by grouping 25(9x-9y)^2+20(9x-9y)+4

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Question 771223: what is the answer for this problem by factoring by grouping 25(9x-9y)^2+20(9x-9y)+4
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
25(9x-9y)^2+20(9x-9y)+4
25(9x-9y)^2+10(9x-9y)+10(9x-9y)+4
[25(9x-9y)^2+10(9x-9y)] + [10(9x-9y)+4]
5(9x-9y)[5(9x-9y)+2] + 2[5(9x-9y)+2]
(5(9x-9y)+2)(5(9x-9y) + 2)
(5*9(x-y)+2)(5*9(x-y) + 2)
(45(x-y)+2)(45(x-y) + 2)
(45(x-y)+2)^2