Question

simplify: (x²+y²-z²)²-(x²-y²+z²)²​

Answer 1

Step-by-step explanation:

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Question

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Simplify : (x

2

+y

2

−z

2

)

2

−(x

2

−y

2

+z

2

)

2

Medium

Solution

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Apply the formula a

2

−b

2

=(a+b)(a−b) to simplify the expression.

(x

2

+y

2

−z

2

)

2

−(x

2

−y

2

+z

2

)

2

=(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

2

y

2

−4x

2

z

2