Lời giải:
`a) (x-1)(x^2+xy+y^2)`
`=x(x^2+xy+y^2)-1(x^2+xy+y^2)`
`=x^3+x^2y+xy^2-x^2-xy-y^2`
`b) (x+1)(x^2-xy+y^2)`
`=x(x^2-xy+y^2)+1(x^2-xy+y^2)`
`=x^3-x^2y+xy^2+x^2-xy+y^2`
`c)`
`HĐ_1: (a+b)^2=a^2+2ab+b^2`
`HĐ_2: (a-b)^2=a^2-2ab+b^2`
`HĐ_3: a^2-b^2=(a-b)(a+b)`
`HĐ_4: (a+b)^3=a^3+3a^2b+3ab^2+b^3`
`HĐ_5=(a-b)^3=a^3-3a^2b+3ab^2-b^3`
`HĐ_6=a^3+b^3=(a+b)(a^2-ab+b^2)`
`HĐ_7=a^3-b^3=(a-b)(a^2+ab+b^2)`