What is sqrt((x-3)^2-8(x-3)) ?

The solution to sqrt((x-3)^2-8(x-3)) is sqrt(x^2-14x+33)

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simplify sqrt((x-3)^2-8(x-3))

simplify

(x - 3)^{2} - 8 (x - 3)

x^{2} - 14 x + 33

Solution steps

(x - 3)^{2} - 8 (x - 3)

Expand

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

= x^{2} - 6 x + 9 - 8 (x - 3)

Expand

- 8 (x - 3) : - 8 x + 24

= x^{2} - 6 x + 9 - 8 x + 24

Simplify

x^{2} - 6 x + 9 - 8 x + 24 : x^{2} - 14 x + 33

= x^{2} - 14 x + 33

d - 1 - 9 d - 9

\frac{x ^{2} - 16 x + 63}{49 - x ^{2}}

(5^{2})^{- 1}

\frac{1}{5} 50

96 + 724

What is sqrt((x-3)^2-8(x-3)) ?
The solution to sqrt((x-3)^2-8(x-3)) is sqrt(x^2-14x+33)