Question

simplify (2x-y+z)²-(2x+y-z)²​

Answer 1

Answer:

1.1    Evaluate :  (2x-y+z)2   =  4x2-4xy+4xz+y2-2yz+z2  1.2    Evaluate :  (2x+y-z)2   =  4x2+4xy-4xz+y2-2yz+z2

 STEP2:Pulling out like terms

 2.1     Pull out like factors :

   8xz - 8xy  =   -8x • (y - z) 

Final result :

-8x • (y - z)

Answer 2

Answer:

Step-by-step explanation:

The following expression is in the form of a^2 - b^2 = (a+b)(a-b)

So it can be written as,

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

= (4x)(2x-y+z-2x-y+z)

=(4x)(-2y+2z)

(4x)(2z-2y) (or) 8xz-8xy