(y^3+10)(y^3-10)=

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Solution for (y^3+10)(y^3-10)= equation:


Simplifying
(y3 + 10)(y3 + -10) = 0

Reorder the terms:
(10 + y3)(y3 + -10) = 0

Reorder the terms:
(10 + y3)(-10 + y3) = 0

Multiply (10 + y3) * (-10 + y3)
(10(-10 + y3) + y3(-10 + y3)) = 0
((-10 * 10 + y3 * 10) + y3(-10 + y3)) = 0
((-100 + 10y3) + y3(-10 + y3)) = 0
(-100 + 10y3 + (-10 * y3 + y3 * y3)) = 0
(-100 + 10y3 + (-10y3 + y6)) = 0

Combine like terms: 10y3 + -10y3 = 0
(-100 + 0 + y6) = 0
(-100 + y6) = 0

Solving
-100 + y6 = 0

Solving for variable 'y'.

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

Add '100' to each side of the equation.
-100 + 100 + y6 = 0 + 100

Combine like terms: -100 + 100 = 0
0 + y6 = 0 + 100
y6 = 0 + 100

Combine like terms: 0 + 100 = 100
y6 = 100

Simplifying
y6 = 100

Reorder the terms:
-100 + y6 = 100 + -100

Combine like terms: 100 + -100 = 0
-100 + y6 = 0

Factor a difference between two squares.
(10 + y3)(-10 + y3) = 0

Subproblem 1

Set the factor '(10 + y3)' equal to zero and attempt to solve: Simplifying 10 + y3 = 0 Solving 10 + y3 = 0 Move all terms containing y to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + y3 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + y3 = 0 + -10 y3 = 0 + -10 Combine like terms: 0 + -10 = -10 y3 = -10 Simplifying y3 = -10 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 '(-10 + y3)' equal to zero and attempt to solve: Simplifying -10 + y3 = 0 Solving -10 + y3 = 0 Move all terms containing y to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + y3 = 0 + 10 Combine like terms: -10 + 10 = 0 0 + y3 = 0 + 10 y3 = 0 + 10 Combine like terms: 0 + 10 = 10 y3 = 10 Simplifying y3 = 10 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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