Question

Преобразуйте выражение в многочлен:

а) (х+у+z)(x+y-z)

б) (x-y+z)(x-y-z)

 

Answer 1

-z2+y2+2xy+x2

-z2+y2-2xy+x2

 

Answer 2

1) (х+y+z)(x+y-z)= x^2+xy-zx+xy+y^2-yz+zx+zy-z^2=x^2+2xy+y^2-z^2

2) (x-y+z)(x-y-z)= x^2-xy-xz-yx+y^2+yz+zx-zy-z^2= x^2-2xy+y^2-z^2