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

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


Simplifying
(x3 + y5)(x3 + -1y5) = 0

Multiply (x3 + y5) * (x3 + -1y5)
(x3(x3 + -1y5) + y5(x3 + -1y5)) = 0
((x3 * x3 + -1y5 * x3) + y5(x3 + -1y5)) = 0

Reorder the terms:
((-1x3y5 + x6) + y5(x3 + -1y5)) = 0
((-1x3y5 + x6) + y5(x3 + -1y5)) = 0
(-1x3y5 + x6 + (x3 * y5 + -1y5 * y5)) = 0
(-1x3y5 + x6 + (x3y5 + -1y10)) = 0

Reorder the terms:
(-1x3y5 + x3y5 + x6 + -1y10) = 0

Combine like terms: -1x3y5 + x3y5 = 0
(0 + x6 + -1y10) = 0
(x6 + -1y10) = 0

Solving
x6 + -1y10 = 0

Solving for variable 'x'.

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

Add 'y10' to each side of the equation.
x6 + -1y10 + y10 = 0 + y10

Combine like terms: -1y10 + y10 = 0
x6 + 0 = 0 + y10
x6 = 0 + y10
Remove the zero:
x6 = y10

Simplifying
x6 = y10

Combine like terms: y10 + -1y10 = 0
x6 + -1y10 = 0

Factor a difference between two squares.
(x3 + y5)(x3 + -1y5) = 0

Subproblem 1

Set the factor '(x3 + y5)' equal to zero and attempt to solve: Simplifying x3 + y5 = 0 Solving x3 + y5 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y5' to each side of the equation. x3 + y5 + -1y5 = 0 + -1y5 Combine like terms: y5 + -1y5 = 0 x3 + 0 = 0 + -1y5 x3 = 0 + -1y5 Remove the zero: x3 = -1y5 Simplifying x3 = -1y5 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 '(x3 + -1y5)' equal to zero and attempt to solve: Simplifying x3 + -1y5 = 0 Solving x3 + -1y5 = 0 Move all terms containing x to the left, all other terms to the right. Add 'y5' to each side of the equation. x3 + -1y5 + y5 = 0 + y5 Combine like terms: -1y5 + y5 = 0 x3 + 0 = 0 + y5 x3 = 0 + y5 Remove the zero: x3 = y5 Simplifying x3 = y5 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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