What is sqrt((x-3)^2-4(x-3)) ?

The solution to sqrt((x-3)^2-4(x-3)) is sqrt(x^2-10x+21)

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simplify sqrt((x-3)^2-4(x-3))

simplify

(x - 3)^{2} - 4 (x - 3)

x^{2} - 10 x + 21

Solution steps

(x - 3)^{2} - 4 (x - 3)

Expand

(x - 3)^{2} : x^{2} - 6 x + 9

= x^{2} - 6 x + 9 - 4 (x - 3)

Expand

- 4 (x - 3) : - 4 x + 12

= x^{2} - 6 x + 9 - 4 x + 12

Simplify

x^{2} - 6 x + 9 - 4 x + 12 : x^{2} - 10 x + 21

= x^{2} - 10 x + 21

11 x \cdot 2 x

6 x \cdot 3 x^{2}

2 (- n - 1) - 4 n

(- 6 x^{2} + 3) + (4 x^{2} - 2 x)

(- 3 + 2 i) (- 3 - 2 i)

What is sqrt((x-3)^2-4(x-3)) ?
The solution to sqrt((x-3)^2-4(x-3)) is sqrt(x^2-10x+21)