Question 633850
m^3-81m=0 with steps please;)

m^3 - 81m = 0

Factor out the Greatest Common Factor (GCF) = m

m(m^2 - 81) = 0

Factor a difference between two squares:

m(m + 9)(m - 9) = 0


Subproblem 1

Set the factor 'm' equal to zero and attempt to solve:

m = 0


Subproblem 2

m + 9 = 0

Subtract 9 from each side of the equation.

m + 9 - 9 = 0 - 9

Combine like terms:

9 - 9 = 0

0 - 9 = -9

m = -9


Subproblem 3

m - 9 = 0

Add 9 to each side of the equation.

m - 9 + 9 = 0 + 9

Combine like terms:

-9 + 9 = 0

0 + 9 = 9

m = 9


Solution:

m = (0, -9, 9)




Lennox Obuong
Algebra Student
Email: obuong3@aol.com