m^4-n^4=

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Solution for m^4-n^4= equation:


Simplifying
m4 + -1n4 = 0

Solving
m4 + -1n4 = 0

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add 'n4' to each side of the equation.
m4 + -1n4 + n4 = 0 + n4

Combine like terms: -1n4 + n4 = 0
m4 + 0 = 0 + n4
m4 = 0 + n4
Remove the zero:
m4 = n4

Simplifying
m4 = n4

Combine like terms: n4 + -1n4 = 0
m4 + -1n4 = 0

Factor a difference between two squares.
(m2 + n2)(m2 + -1n2) = 0

Factor a difference between two squares.
(m2 + n2)((m + n)(m + -1n)) = 0

Subproblem 1

Set the factor '(m2 + n2)' equal to zero and attempt to solve: Simplifying m2 + n2 = 0 Solving m2 + n2 = 0 Move all terms containing m to the left, all other terms to the right. Add '-1n2' to each side of the equation. m2 + n2 + -1n2 = 0 + -1n2 Combine like terms: n2 + -1n2 = 0 m2 + 0 = 0 + -1n2 m2 = 0 + -1n2 Remove the zero: m2 = -1n2 Simplifying m2 = -1n2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(m + n)' equal to zero and attempt to solve: Simplifying m + n = 0 Solving m + n = 0 Move all terms containing m to the left, all other terms to the right. Add '-1n' to each side of the equation. m + n + -1n = 0 + -1n Combine like terms: n + -1n = 0 m + 0 = 0 + -1n m = 0 + -1n Remove the zero: m = -1n Simplifying m = -1n

Subproblem 3

Set the factor '(m + -1n)' equal to zero and attempt to solve: Simplifying m + -1n = 0 Solving m + -1n = 0 Move all terms containing m to the left, all other terms to the right. Add 'n' to each side of the equation. m + -1n + n = 0 + n Combine like terms: -1n + n = 0 m + 0 = 0 + n m = 0 + n Remove the zero: m = n Simplifying m = n

Solution

m = {-1n, n}

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