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Popular >

simplify sqrt(2x^2-4xy+2y^2)

Solution

simplify

2 x^{2} - 4 x y + 2 y^{2}

Solution

2 (x - y)

Solution steps

2 x^{2} - 4 x y + 2 y^{2}

Factor

2 x^{2} - 4 x y + 2 y^{2} : 2 (x - y)^{2}

= 2 (x - y)^{2}

Apply radical rule:

assuming

a \geq 0, b \geq 0

= 2 (x - y)^{2}

Apply radical rule:

assuming

a \geq 0

(x - y)^{2} = x - y

= 2 (x - y)

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Frequently Asked Questions (FAQ)

What is sqrt(2x^2-4xy+2y^2) ?
The solution to sqrt(2x^2-4xy+2y^2) is sqrt(2)(x-y)