What is sqrt((x-2)^2-9(x-2)) ?

The solution to sqrt((x-2)^2-9(x-2)) is sqrt(x^2-13x+22)

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simplify sqrt((x-2)^2-9(x-2))

simplify

(x - 2)^{2} - 9 (x - 2)

x^{2} - 13 x + 22

Solution steps

(x - 2)^{2} - 9 (x - 2)

Expand

(x - 2)^{2} : x^{2} - 4 x + 4

= x^{2} - 4 x + 4 - 9 (x - 2)

Expand

- 9 (x - 2) : - 9 x + 18

= x^{2} - 4 x + 4 - 9 x + 18

Simplify

x^{2} - 4 x + 4 - 9 x + 18 : x^{2} - 13 x + 22

= x^{2} - 13 x + 22

- 2 (- 3 k + 4) - 7

(6 x^{4})^{2}

x^{5} - 3 x^{4} - x^{3} + 7 x^{2} - 4

9 (7 k + 8) + 3 (k - 10)

3 - 23

What is sqrt((x-2)^2-9(x-2)) ?
The solution to sqrt((x-2)^2-9(x-2)) is sqrt(x^2-13x+22)