(s^2-t^2)(s^2+t^2)=

Solution for (s^2-t^2)(s^2+t^2)= equation:

Simplifying
(s2 + -1t2)(s2 + t2) = 0

Multiply (s2 + -1t2) * (s2 + t2)
(s2(s2 + t2) + -1t2 * (s2 + t2)) = 0
((s2 * s2 + t2 * s2) + -1t2 * (s2 + t2)) = 0

Reorder the terms:
((s2t2 + s4) + -1t2 * (s2 + t2)) = 0
((s2t2 + s4) + -1t2 * (s2 + t2)) = 0
(s2t2 + s4 + (s2 * -1t2 + t2 * -1t2)) = 0
(s2t2 + s4 + (-1s2t2 + -1t4)) = 0

Reorder the terms:
(s2t2 + -1s2t2 + s4 + -1t4) = 0

Combine like terms: s2t2 + -1s2t2 = 0
(0 + s4 + -1t4) = 0
(s4 + -1t4) = 0

Solving
s4 + -1t4 = 0

Solving for variable 's'.

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

Add 't4' to each side of the equation.
s4 + -1t4 + t4 = 0 + t4

Combine like terms: -1t4 + t4 = 0
s4 + 0 = 0 + t4
s4 = 0 + t4
Remove the zero:
s4 = t4

Simplifying
s4 = t4

Combine like terms: t4 + -1t4 = 0
s4 + -1t4 = 0

Factor a difference between two squares.
(s2 + t2)(s2 + -1t2) = 0

Factor a difference between two squares.
(s2 + t2)((s + t)(s + -1t)) = 0

Subproblem 1
Set the factor '(s2 + t2)' equal to zero and attempt to solve:

Simplifying
s2 + t2 = 0

Solving
s2 + t2 = 0

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

Add '-1t2' to each side of the equation.
s2 + t2 + -1t2 = 0 + -1t2

Combine like terms: t2 + -1t2 = 0
s2 + 0 = 0 + -1t2
s2 = 0 + -1t2
Remove the zero:
s2 = -1t2

Simplifying
s2 = -1t2

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 '(s + t)' equal to zero and attempt to solve:

Simplifying
s + t = 0

Solving
s + t = 0

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

Add '-1t' to each side of the equation.
s + t + -1t = 0 + -1t

Combine like terms: t + -1t = 0
s + 0 = 0 + -1t
s = 0 + -1t
Remove the zero:
s = -1t

Simplifying
s = -1t
Subproblem 3
Set the factor '(s + -1t)' equal to zero and attempt to solve:

Simplifying
s + -1t = 0

Solving
s + -1t = 0

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

Add 't' to each side of the equation.
s + -1t + t = 0 + t

Combine like terms: -1t + t = 0
s + 0 = 0 + t
s = 0 + t
Remove the zero:
s = t

Simplifying
s = t
Solution
s = {-1t, t}