What is (9sqrt(x+2)-11)^2 ?

The solution to (9sqrt(x+2)-11)^2 is 81x-198sqrt(x+2)+283

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simplify (9sqrt(x+2)-11)^2

simplify

(9 x + 2 - 11)^{2}

81 x - 198 x + 2 + 283

Solution steps

(9 x + 2 - 11)^{2}

Apply Perfect Square Formula:

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

(9 x + 2 - 11)^{2} = (9 x + 2)^{2} - 2 \cdot 9 x + 2 \cdot 11 + 1 1^{2}

= (9 x + 2)^{2} - 2 \cdot 9 x + 2 \cdot 11 + 1 1^{2}

Simplify

(9 x + 2)^{2} - 2 \cdot 9 x + 2 \cdot 11 + 1 1^{2} : 81 x - 198 x + 2 + 283

= 81 x - 198 x + 2 + 283

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What is (9sqrt(x+2)-11)^2 ?
The solution to (9sqrt(x+2)-11)^2 is 81x-198sqrt(x+2)+283