Question

(x+y+z) ^2 ( x+y-z) ^2​

Answer 1

Answer:

the question must be (x+y+z) ^2 + ( x+y-z) ^2​

= 2(x^2 + y^2 + z^2 + 2xy)

Step-by-step explanation:

(x+y+z) ^2 ( x+y-z) ^2​

= x^2 + y^2 + z^2 + 2xy + 2yz + 2zx + x^2 + y^2 + z^2 + 2xy - 2yz - 2zx

= 2x^2 + 2y^2 + 2z^2 + 4xy

= 2(x^2 + y^2 + x^2 + 2xy)

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Answer 2

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

= x^2 + y^2 + z^2 + 2xy + 2yz + 2zx

+ x^2 + y^2 + z^2 + 2xy - 2yz - 2zx

= 2x^2 + 2y^2 + 2z^2 + 4xy

= 2( x^2 + y^2 + z^2 + 2xy)

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