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

The solution to sqrt((x-2)^2-4(x-2)) is sqrt(x^2-8x+12)

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

simplify

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

x^{2} - 8 x + 12

Solution steps

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

Expand

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

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

Expand

- 4 (x - 2) : - 4 x + 8

= x^{2} - 4 x + 4 - 4 x + 8

Simplify

x^{2} - 4 x + 4 - 4 x + 8 : x^{2} - 8 x + 12

= x^{2} - 8 x + 12

\frac{3}{8} \times (- \frac{4}{10})

((3 - 3 i) (- 2 + 23 i))^{10}

\frac{3}{8} - \frac{6}{48}

(7 x - 1) - (2 x^{2} + 4 x + 7)

\frac{7}{8} \div \frac{21}{16}

What is sqrt((x-2)^2-4(x-2)) ?
The solution to sqrt((x-2)^2-4(x-2)) is sqrt(x^2-8x+12)