What is (6-4sqrt(x-5))^2 ?

The solution to (6-4sqrt(x-5))^2 is 16x-48sqrt(x-5)-44

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simplify (6-4sqrt(x-5))^2

simplify

(6 - 4 x - 5)^{2}

16 x - 48 x - 5 - 44

Solution steps

(6 - 4 x - 5)^{2}

Apply Perfect Square Formula:

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

(6 - 4 x - 5)^{2} = 6^{2} - 2 \cdot 6 \cdot 4 x - 5 + (4 x - 5)^{2}

= 6^{2} - 2 \cdot 6 \cdot 4 x - 5 + (4 x - 5)^{2}

Simplify

6^{2} - 2 \cdot 6 \cdot 4 x - 5 + (4 x - 5)^{2} : 16 x - 48 x - 5 - 44

= 16 x - 48 x - 5 - 44

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What is (6-4sqrt(x-5))^2 ?
The solution to (6-4sqrt(x-5))^2 is 16x-48sqrt(x-5)-44