What is factor 9(x-2)^2-24(x-2)+16 ?

The solution to factor 9(x-2)^2-24(x-2)+16 is (3x-10)^2

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factor 9(x-2)^2-24(x-2)+16

factor

9 (x - 2)^{2} - 24 (x - 2) + 16

(3 x - 10)^{2}

Solution steps

9 (x - 2)^{2} - 24 (x - 2) + 16

Expand

9 (x - 2)^{2} - 24 (x - 2) + 16 : 9 x^{2} - 60 x + 100

= 9 x^{2} - 60 x + 100

Factor

9 x^{2} - 60 x + 100 : (3 x - 10)^{2}

= (3 x - 10)^{2}

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What is factor 9(x-2)^2-24(x-2)+16 ?
The solution to factor 9(x-2)^2-24(x-2)+16 is (3x-10)^2