Ответ:
1. (x+y)(y^2 -yx+y^2) = x+y(2y^2-xy) = x+2y^3-xy
2. (x^3-y^3)= (x-y)(x^2+xy+y^2)
3. (x+y)(x^2-2xy+y^2) = (x+y)(x-y)^2 = x^3-x^2y-xy^2+y^3
4. x^3-3x^2y+3xy^2-y^3 = (x-y)3
5. -(y+x)^2 =-(x^2+2xy+y^2) = -x^2-2xy-y^2
6. x^2-2xy-y^2 = (x-y)(x+y)-2xy
7. y^2-x^2= (y-x)(y+x)
8. (x^2+xy+y^2)(x-y)=там формула не правильно записана. я исправила написала = (x-y)^3
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Answers & Comments
Ответ:
1. (x+y)(y^2 -yx+y^2) = x+y(2y^2-xy) = x+2y^3-xy
2. (x^3-y^3)= (x-y)(x^2+xy+y^2)
3. (x+y)(x^2-2xy+y^2) = (x+y)(x-y)^2 = x^3-x^2y-xy^2+y^3
4. x^3-3x^2y+3xy^2-y^3 = (x-y)3
5. -(y+x)^2 =-(x^2+2xy+y^2) = -x^2-2xy-y^2
6. x^2-2xy-y^2 = (x-y)(x+y)-2xy
7. y^2-x^2= (y-x)(y+x)
8. (x^2+xy+y^2)(x-y)=там формула не правильно записана. я исправила написала = (x-y)^3