Question

factorise m^8-256 with proper method​

Answer 1

Answer:

m^8-256

=(m^4)^2-(16)^2

=(m^4+16)(m^4-16)

=(m^4+16){(m^2)^2-4^2}

=(m^4+16)(m^2+4)(m^2-4))

=(m^4+16)(m^2+4){(m)^2-2^2}

=(m^4+16)(m^2+4)(m+2)(m-2)