(10a^2+b^3)(10a^2-b^3)=

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Solution for (10a^2+b^3)(10a^2-b^3)= equation: 


Simplifying
(10a2 + b3)(10a2 + -1b3) = 0

Multiply (10a2 + b3) * (10a2 + -1b3)
(10a2 * (10a2 + -1b3) + b3(10a2 + -1b3)) = 0
((10a2 * 10a2 + -1b3 * 10a2) + b3(10a2 + -1b3)) = 0

Reorder the terms:
((-10a2b3 + 100a4) + b3(10a2 + -1b3)) = 0
((-10a2b3 + 100a4) + b3(10a2 + -1b3)) = 0
(-10a2b3 + 100a4 + (10a2 * b3 + -1b3 * b3)) = 0
(-10a2b3 + 100a4 + (10a2b3 + -1b6)) = 0

Reorder the terms:
(-10a2b3 + 10a2b3 + 100a4 + -1b6) = 0

Combine like terms: -10a2b3 + 10a2b3 = 0
(0 + 100a4 + -1b6) = 0
(100a4 + -1b6) = 0

Solving
100a4 + -1b6 = 0

Solving for variable 'a'.

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

Add 'b6' to each side of the equation.
100a4 + -1b6 + b6 = 0 + b6

Combine like terms: -1b6 + b6 = 0
100a4 + 0 = 0 + b6
100a4 = 0 + b6
Remove the zero:
100a4 = b6

Divide each side by '100'.
a4 = 0.01b6

Simplifying
a4 = 0.01b6

Combine like terms: 0.01b6 + -0.01b6 = 0.00
a4 + -0.01b6 = 0.00

Factor a difference between two squares.
(a2 + 0.1b3)(a2 + -0.1b3) = 0.00


Subproblem 1
Set the factor '(a2 + 0.1b3)' equal to zero and attempt to solve:

Simplifying
a2 + 0.1b3 = 0

Solving
a2 + 0.1b3 = 0

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

Add '-0.1b3' to each side of the equation.
a2 + 0.1b3 + -0.1b3 = 0 + -0.1b3

Combine like terms: 0.1b3 + -0.1b3 = 0.0
a2 + 0.0 = 0 + -0.1b3
a2 = 0 + -0.1b3
Remove the zero:
a2 = -0.1b3

Simplifying
a2 = -0.1b3

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 '(a2 + -0.1b3)' equal to zero and attempt to solve:

Simplifying
a2 + -0.1b3 = 0

Solving
a2 + -0.1b3 = 0

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

Add '0.1b3' to each side of the equation.
a2 + -0.1b3 + 0.1b3 = 0 + 0.1b3

Combine like terms: -0.1b3 + 0.1b3 = 0.0
a2 + 0.0 = 0 + 0.1b3
a2 = 0 + 0.1b3
Remove the zero:
a2 = 0.1b3

Simplifying
a2 = 0.1b3

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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