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

The solution to (3-sqrt(x-2))^2 is x-6sqrt(x-2)+7

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

simplify

(3 - x - 2)^{2}

x - 6 x - 2 + 7

Solution steps

(3 - x - 2)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

3^{2} - 2 \cdot 3 x - 2 + (x - 2)^{2} : x - 6 x - 2 + 7

= x - 6 x - 2 + 7

\frac{( 2 x - 5 ) ^{5}}{( 2 x - 1 ) ^{4}}

\frac{5 s}{( s - 2 ) ^{3}}

\frac{4 s}{( s ^{2} + 4 ) ^{2}}

(2 - x + 2) \cdot (2 + x + 2)

A (2, - 1) y B (- 4, 3)