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

The solution to (3-sqrt(x-3))^2 is x-6sqrt(x-3)+6

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

simplify

(3 - x - 3)^{2}

x - 6 x - 3 + 6

Solution steps

(3 - x - 3)^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(3 - x - 3)^{2} = 3^{2} - 2 \cdot 3 x - 3 + (x - 3)^{2}

= 3^{2} - 2 \cdot 3 x - 3 + (x - 3)^{2}

Simplify

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

= x - 6 x - 3 + 6

P (- 1, - 1) C (3, 5)

\frac{sin ( x + h ) - sin ( x )}{h}

\frac{\partial}{\partial x} ((z) (e^{2 z} - x yz))

\frac{3 ( x - 1 )}{4}

(ln (1 + \frac{1}{x}) - \frac{1}{x + 1}) (1 + \frac{1}{x})^{x}