Question

simplify (x+y) (x+y+z) - ( x-y) ( x-y-z)​

Answer 1

Step-by-step explanation:

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

=(x²+xy+xz+xy+y²+yz)-(x²-xy-xz-xy+y²+yz)

=(x²+2xy+xz+yz+y²)-(x²-2xy-xz+yz+y²)

=x²+2xy+xz+yz+y²-x²+2xy+xz-yz-y²

=4xy+2xz

2x(y+z)