What is (-36-sqrt(x))^2 ?

The solution to (-36-sqrt(x))^2 is 1296+72sqrt(x)+x

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simplify (-36-sqrt(x))^2

simplify

(- 36 - x)^{2}

1296 + 72 x + x

Solution steps

(- 36 - x)^{2}

Apply Perfect Square Formula:

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

(- 36 - x)^{2} = (- 36)^{2} - 2 (- 36) x + (x)^{2}

= (- 36)^{2} - 2 (- 36) x + (x)^{2}

(- 36)^{2} = 1296

- 2 (- 36) x = 72 x

(x)^{2} = x

= 1296 + 72 x + x

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