Question

simplify (x+y+z)² - (x-y-z)²​

Answer 1

Answer:

=x²+y²+z²+2xy+2yz+2zx-(x²+y²+z²-2xy+2yz-2zx)

=x²+y²+z²+2xy+2yz+2zx-x²-y²-z²+2xy-2yz+2zx

=4xy+4yz

=4y(x+z).

Answer 2

Answer:

(x-y-z)²= x²-y²-z²-2xy+2yz-2zx

Step-by-step explanation:

=x² +y²+z²+2xy+2yz+2zx-( x²-y²-z²-2xy+2yz-2zx)

=2y²+2z²+4xy+4zx