What is sqrt((x-3)^2-5(x-3)) ?

The solution to sqrt((x-3)^2-5(x-3)) is sqrt(x^2-11x+24)

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simplify sqrt((x-3)^2-5(x-3))

simplify

(x - 3)^{2} - 5 (x - 3)

x^{2} - 11 x + 24

Solution steps

(x - 3)^{2} - 5 (x - 3)

Expand

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

= x^{2} - 6 x + 9 - 5 (x - 3)

Expand

- 5 (x - 3) : - 5 x + 15

= x^{2} - 6 x + 9 - 5 x + 15

Simplify

x^{2} - 6 x + 9 - 5 x + 15 : x^{2} - 11 x + 24

= x^{2} - 11 x + 24

(3 + a + b)^{2}

8 x^{2} + 56 x y + 98 y^{2}

3^{- 1} + 2^{- 2}

3 u - 10 (10 u - 10)

\frac{3}{4} - \frac{5}{2}

What is sqrt((x-3)^2-5(x-3)) ?
The solution to sqrt((x-3)^2-5(x-3)) is sqrt(x^2-11x+24)