What is (sqrt((-3a-16)^2+(6a-2)^2+(2a-18)^2))^2 ?

The solution to (sqrt((-3a-16)^2+(6a-2)^2+(2a-18)^2))^2 is 49a^2+584

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simplify (sqrt((-3a-16)^2+(6a-2)^2+(2a-18)^2))^2

simplify

((- 3 a - 16)^{2} + (6 a - 2)^{2} + (2 a - 18)^{2})^{2}

49 a^{2} + 584

Solution steps

((- 3 a - 16)^{2} + (6 a - 2)^{2} + (2 a - 18)^{2})^{2}

Apply exponent rule:

assuming

n i s o dd or a \geq 0

((- 3 a - 16)^{2} + (6 a - 2)^{2} + (2 a - 18)^{2})^{2} = (- 3 a - 16)^{2} + (6 a - 2)^{2} + (2 a - 18)^{2}

= (- 3 a - 16)^{2} + (6 a - 2)^{2} + (2 a - 18)^{2}

Expand

(- 3 a - 16)^{2} : 9 a^{2} + 96 a + 256

= 9 a^{2} + 96 a + 256 + (6 a - 2)^{2} + (2 a - 18)^{2}

Expand

(6 a - 2)^{2} : 36 a^{2} - 24 a + 4

= 9 a^{2} + 96 a + 256 + 36 a^{2} - 24 a + 4 + (2 a - 18)^{2}

Expand

(2 a - 18)^{2} : 4 a^{2} - 72 a + 324

= 9 a^{2} + 96 a + 256 + 36 a^{2} - 24 a + 4 + 4 a^{2} - 72 a + 324

Group like terms

= 9 a^{2} + 36 a^{2} + 4 a^{2} + 96 a - 24 a - 72 a + 256 + 4 + 324

Add similar elements:

9 a^{2} + 36 a^{2} + 4 a^{2} = 49 a^{2}

= 49 a^{2} + 96 a - 24 a - 72 a + 256 + 4 + 324

Add similar elements:

96 a - 24 a - 72 a = 0

= 49 a^{2} + 256 + 4 + 324

Add the numbers:

256 + 4 + 324 = 584

= 49 a^{2} + 584

600 e^{- 0.027 (20)}

2 π x^{2} π

\frac{d}{d x} ((z (x)) (y^{- 1}))

What is (sqrt((-3a-16)^2+(6a-2)^2+(2a-18)^2))^2 ?
The solution to (sqrt((-3a-16)^2+(6a-2)^2+(2a-18)^2))^2 is 49a^2+584