Answer: 257/16
Step-by-step explanation:
You are given the algebraic expression: m^4+ 1/m^4
if m− 1/m = 3
Solve for m by cross multiplying
m - 1 = 3m
Collect the likes terms
3m - m = -1
2m = -1
m = -1/2
Substitutes m into the algebraic expression above.
(- 1/2)^4 + 1/(- 1/2)^4
Open the bracket
1/16 + 1/(1/16)
1/6 + 16
16(1/16) or 257/16
