Question

Simplify
(x+y+z)2 - (x-y+z)2
​

Answer 1

Answer:

4x • (y - z)

Step-by-step explanation:

Step  1  :

1.1     Evaluate :  (x+y-z)2   =    x2+2xy-2xz+y2-2yz+z2  

1.2     Evaluate :  (x-y+z)2   =    x2-2xy+2xz+y2-2yz+z2  

Step  2  :

Pulling out like terms :

2.1     Pull out like factors :

  4xy - 4xz  =   4x • (y - z)  

Final result :

 4x • (y - z)