Question

Simplify (x+y+z)(x+y-2z)

Answer 1

Answer:

(x+y+z)(x+y-2z)

=

$= {x}^{2} + xy - 2zx + yx + {y}^{2} - 2zy + zx + zy - 2 ({z}^{2} ) \\ = {x}^{2} + {y}^{2} - 2xy - 2zx - 2zy - 2 {(z}^{2} ) \\ = {x}^{2} + {y}^{2} + 2xy - 2(zx + zy + {z}^{2} ) \\ = {x}^{2} + {y}^{2} + 2xy - 2z(x + y + z)$

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