What is sqrt((a-b)^2+(-a+b)^2) ?

The solution to sqrt((a-b)^2+(-a+b)^2) is sqrt(2)(a-b)

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simplify sqrt((a-b)^2+(-a+b)^2)

simplify

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

2 (a - b)

Solution steps

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

Factor

(a - b)^{2} + (- a + b)^{2} : 2 (a - b)^{2}

= 2 (a - b)^{2}

Apply radical rule:

assuming

a \geq 0, b \geq 0

= 2 (a - b)^{2}

Apply radical rule:

assuming

a \geq 0

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

= 2 (a - b)

(x - 1)^{2} - (x - 2)^{2}

10 x^{4} - x^{2} - 3

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

3 a^{8} - 192 a^{2}

(2 u^{5} - 13 u^{4}) + (8 u^{4} + u^{5})

What is sqrt((a-b)^2+(-a+b)^2) ?
The solution to sqrt((a-b)^2+(-a+b)^2) is sqrt(2)(a-b)