(x^5+y^3)(x^5-y^3)=

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Solution for (x^5+y^3)(x^5-y^3)= equation: 


Simplifying
(x5 + y3)(x5 + -1y3) = 0

Multiply (x5 + y3) * (x5 + -1y3)
(x5(x5 + -1y3) + y3(x5 + -1y3)) = 0
((x5 * x5 + -1y3 * x5) + y3(x5 + -1y3)) = 0

Reorder the terms:
((-1x5y3 + x10) + y3(x5 + -1y3)) = 0
((-1x5y3 + x10) + y3(x5 + -1y3)) = 0
(-1x5y3 + x10 + (x5 * y3 + -1y3 * y3)) = 0
(-1x5y3 + x10 + (x5y3 + -1y6)) = 0

Reorder the terms:
(-1x5y3 + x5y3 + x10 + -1y6) = 0

Combine like terms: -1x5y3 + x5y3 = 0
(0 + x10 + -1y6) = 0
(x10 + -1y6) = 0

Solving
x10 + -1y6 = 0

Solving for variable 'x'.

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

Add 'y6' to each side of the equation.
x10 + -1y6 + y6 = 0 + y6

Combine like terms: -1y6 + y6 = 0
x10 + 0 = 0 + y6
x10 = 0 + y6
Remove the zero:
x10 = y6

Simplifying
x10 = y6

Combine like terms: y6 + -1y6 = 0
x10 + -1y6 = 0

Factor a difference between two squares.
(x5 + y3)(x5 + -1y3) = 0


Subproblem 1
Set the factor '(x5 + y3)' equal to zero and attempt to solve:

Simplifying
x5 + y3 = 0

Solving
x5 + y3 = 0

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

Add '-1y3' to each side of the equation.
x5 + y3 + -1y3 = 0 + -1y3

Combine like terms: y3 + -1y3 = 0
x5 + 0 = 0 + -1y3
x5 = 0 + -1y3
Remove the zero:
x5 = -1y3

Simplifying
x5 = -1y3

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 '(x5 + -1y3)' equal to zero and attempt to solve:

Simplifying
x5 + -1y3 = 0

Solving
x5 + -1y3 = 0

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

Add 'y3' to each side of the equation.
x5 + -1y3 + y3 = 0 + y3

Combine like terms: -1y3 + y3 = 0
x5 + 0 = 0 + y3
x5 = 0 + y3
Remove the zero:
x5 = y3

Simplifying
x5 = y3

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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