M4-10m2+9=x8+4y8=x4-1-2x3+x2=

Question

M4-10m2+9=
x8+4y8=
x4-1-2x3+x2=

Answer 1

m^4 - 10m^2 + 9 = m^4 - m^2 - 9m^2 + 9 = m^2(m^2 - 1) - 9(m^2 - 1) =
= (m^2 - 1)(m^2 - 9) = (m-1)(m+1)(m-3)(m+3)