What is (-2+sqrt(6-x))^2 ?

The solution to (-2+sqrt(6-x))^2 is -x-4sqrt(6-x)+10

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simplify (-2+sqrt(6-x))^2

simplify

(- 2 + 6 - x)^{2}

- x - 4 6 - x + 10

Solution steps

(- 2 + 6 - x)^{2}

Apply Perfect Square Formula:

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

(- 2 + 6 - x)^{2} = (- 2)^{2} + 2 (- 2) 6 - x + (6 - x)^{2}

= (- 2)^{2} + 2 (- 2) 6 - x + (6 - x)^{2}

Simplify

(- 2)^{2} + 2 (- 2) 6 - x + (6 - x)^{2} : - x - 4 6 - x + 10

= - x - 4 6 - x + 10

\frac{x + 2 ( 3 - x ) ^{4}}{( x + 1 ) ^{5}}

\frac{50}{( s + 2 ) ^{2}}

\frac{6}{( x + 2 ) ^{3}}

(3 x^{2} y + 2 x y + y^{3}) d x + (x^{2} + y^{2}) d y

\frac{( 1 + y ^{2} ) ( - 2 x - arctan ( y ) )}{x - y ^{2} - 1}