1)m^3-m^2n-mn^2+n^3; 2)x^5-x^2+x^2-1; 3)x^4+x^3-x-1; 4)a^4+a^3+a+1; 5)m^6-m^4+2 m^3+2...

Question

1)m^3-m^2n-mn^2+n^3; 2)x^5-x^2+x^2-1; 3)x^4+x^3-x-1; 4)a^4+a^3+a+1; 5)m^6-m^4+2 m^3+2 m^2; 6)b^3-8+6 b^2 -12b.

Answer 1

1)m^3-m^2n-mn^2+n^3= m^2(m-n)-n^2(m-n)=(m^2-n^2)(m-n)