What is (sqrt(x^2-16)-6)^2 ?

The solution to (sqrt(x^2-16)-6)^2 is x^2-12sqrt(x^2-16)+20

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simplify (sqrt(x^2-16)-6)^2

simplify

(x^{2} - 16 - 6)^{2}

x^{2} - 12 x^{2} - 16 + 20

Solution steps

(x^{2} - 16 - 6)^{2}

Apply Perfect Square Formula:

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

(x^{2} - 16 - 6)^{2} = (x^{2} - 16)^{2} - 2 x^{2} - 16 \cdot 6 + 6^{2}

= (x^{2} - 16)^{2} - 2 x^{2} - 16 \cdot 6 + 6^{2}

Simplify

(x^{2} - 16)^{2} - 2 x^{2} - 16 \cdot 6 + 6^{2} : x^{2} - 12 x^{2} - 16 + 20

= x^{2} - 12 x^{2} - 16 + 20

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

(e^{- s} - 1)^{2}

(2 lo g_{n} (x) + y)^{2}

(\frac{1}{1 - x})^{3}

2 e^{2 (\frac{3}{5} + 1)}

What is (sqrt(x^2-16)-6)^2 ?
The solution to (sqrt(x^2-16)-6)^2 is x^2-12sqrt(x^2-16)+20