Question

Factors of m3+ 125 / m3​

Answer 1

Answer:

Step-by-step explanation:

m^3+(125/m^3)

=(m)^3+(5/m)^3

It is in the form of a^3 +b^3 and we know that

a^3+b^3=(a+b) (a^2-ab+b^2)

Therefore,

m^3+(5/m)^3=(m+(5/m)) {m^2-m*5/m+25/m^2}

={m+(5/m)} {m^2-m+(25/m^2)}

={(m^2+5)/m} {(m^4-m^3+25)/m^2}

=(m^2+5) (m^4-m^3+25) /m^3