simplify: (x^2+y^2-z^2)^2-(x^2-y^2+z^2)^2
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Question:
Simplify : (x2+y2-z2) 2- (x2-y2+z2)2
Step-by-step explanation:
Apply the formula a2−b2=(a+b)(a−b) to simplify the expression.
(x2+y2−z2)2−(x2−y2+z2)2
=(x2+y2−z2+x2−y2+z2){x2+y2−z2−(x2−y2+z2)}
=(2x2)(x2+y2−z2−x2+y2−z2)
=(2x2)(2y2−2z2)
=(4x2)(y2−z2)
=4x2y2−4x2z2
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