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Simplify: (x^2+y^2-z^2)^2-\ \ (x^2-y^2+z...

Simplify: `(x^2+y^2-z^2)^2-\ \ (x^2-y^2+z^2)^2`

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`(x^2+y^2-z^2)^2-\ \ (x^2-y^2+z^2)^2`
Using the identity:
`a^2-b^2=(a+b)(a-b)`
`=(x^2+y^2−z^2+x^2−y^2+z^2 ){x^2+y^2−z^2−(x^2−y^2+z^2)}`
`=(2x^2)(x^2+y^2−z^2−x^2+y^2−z^2)`
`=(2x^2)(2y^2−2z^2)`
`=(4x^2)(y^2−z^2)`
`=4x^2y^2−4x^2z^2`
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