To simplify the expression, first evaluate the numerator:
1/m - 1 - m + 1/m^2 + m + 1
Combine like terms:
= 1/m + 1/m^2
Now, evaluate the denominator:
(1 + 1/m^3 - 1)
Simplify:
= 1/m^3
Now, substitute the evaluated numerator and denominator back into the expression:
(1/m + 1/m^2) / (1/m^3)
To simplify further, divide the numerator by the denominator:
= (1/m + 1/m^2) * (m^3/1)
= (m^3 + m) / m^3
Therefore, the simplified expression is:
(m^3 + m) / m^3
To simplify the expression, first evaluate the numerator:
1/m - 1 - m + 1/m^2 + m + 1
Combine like terms:
= 1/m + 1/m^2
Now, evaluate the denominator:
(1 + 1/m^3 - 1)
Simplify:
= 1/m^3
Now, substitute the evaluated numerator and denominator back into the expression:
(1/m + 1/m^2) / (1/m^3)
To simplify further, divide the numerator by the denominator:
= (1/m + 1/m^2) * (m^3/1)
= (m^3 + m) / m^3
Therefore, the simplified expression is:
(m^3 + m) / m^3