Преобразуйте выражение в многочлен:
а) (х+у+z)(x+y-z)
б) (x-y+z)(x-y-z)
-z2+y2+2xy+x2
-z2+y2-2xy+x2
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
Copyright © 2024 SCHOLAR.TIPS - All rights reserved.
Answers & Comments
-z2+y2+2xy+x2
-z2+y2-2xy+x2
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