What is (sqrt((x-6)^2+(x^2+1/6)^2))^2 ?

The solution to (sqrt((x-6)^2+(x^2+1/6)^2))^2 is x^2-12x+36+((6x^2+1)^2)/(36)

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simplify (sqrt((x-6)^2+(x^2+1/6)^2))^2

simplify

(x - 6)^{2} + (x^{2} + \frac{1}{6})^{2}^{2}

x^{2} - 12 x + 36 + \frac{( 6 x ^{2} + 1 ) ^{2}}{36}

Solution steps

(x - 6)^{2} + (x^{2} + \frac{1}{6})^{2}^{2}

Apply exponent rule:

assuming

n i s o dd or a \geq 0

(x - 6)^{2} + (x^{2} + \frac{1}{6})^{2}^{2} = (x - 6)^{2} + (x^{2} + \frac{1}{6})^{2}

= (x - 6)^{2} + (x^{2} + \frac{1}{6})^{2}

Simplify

(x^{2} + \frac{1}{6})^{2} : \frac{( 6 x ^{2} + 1 ) ^{2}}{36}

= (x - 6)^{2} + \frac{( 6 x ^{2} + 1 ) ^{2}}{36}

Expand

(x - 6)^{2} : x^{2} - 12 x + 36

= x^{2} - 12 x + 36 + \frac{( 6 x ^{2} + 1 ) ^{2}}{36}

(e^{- 4 x}) (2 e^{2 x})

t e^{- 3 t} cos (2 t)

(4 X) (3 X^{2})

What is (sqrt((x-6)^2+(x^2+1/6)^2))^2 ?
The solution to (sqrt((x-6)^2+(x^2+1/6)^2))^2 is x^2-12x+36+((6x^2+1)^2)/(36)