What is (-sqrt(x)+9)^2 ?

The solution to (-sqrt(x)+9)^2 is x-18sqrt(x)+81

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simplify (-sqrt(x)+9)^2

simplify

(- x + 9)^{2}

x - 18 x + 81

Solution steps

(- x + 9)^{2}

Apply Perfect Square Formula:

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

(- x + 9)^{2} = (- x)^{2} + 2 (- x) \cdot 9 + 9^{2}

= (- x)^{2} + 2 (- x) \cdot 9 + 9^{2}

(- x)^{2} = x

2 (- x) \cdot 9 = - 18 x

9^{2} = 81

= x - 18 x + 81

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