Question

Perform the indicated operations and simplify (x-y-z) (x+y+z)​

Answer 1

Answer:

x²-y²-z²-2yz

Step-by-step explanation:

simple

(x+(y+z))(x-(y+z))

=>(x)²-(y+z)²

=>x²-y²-z²-2yz

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Answer 2

Step-by-step explanation:

$\sf \: (x - y - z)(x + y + z) \\\sf x(x + y + z) - y(x + y + z) - z(x + y + z) \\ \\ \sf {x}^{2} + xy + xz - xy - {y}^{2} - yz - xz - yz - {z}^{2} \\ \\\sf cancelling \: and \: adding \: like \: terms \\ \\\sf {x}^{2} - {y}^{2} - {z}^{2} - 2yz$

As per the question, answer is correct

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