If the square of m plus 1 / 5 m is equal to 1 / 5, find 8 times of m plus 4 times of m plus 4 times of 1 / 1 m

If the square of m plus 1 / 5 m is equal to 1 / 5, find 8 times of m plus 4 times of m plus 4 times of 1 / 1 m

A:
m/(m^2+1)=1/5
Reciprocal:
(m^2+1)/m=5
m+1/m=5
Square on both sides:
m^2+2+1/m^2=25
m^2+1/m^2=23
8 times of m plus 4 times of m plus 4 times of 1 / 2 m
=The numerator and denominator of m ^ 4 / (m ^ 8 + m ^ 4 + 1) are divided by m ^ 4 to get:
=1/(m^4+1+1/m^4)
=1/[(m^2+1/m^2)^2-1]
=1/(23^2-1)
=1/528