(ab^2-c^3)(ab^2+c^3)=

Solution for (ab^2-c^3)(ab^2+c^3)= equation:

Simplifying
(ab2 + -1c3)(ab2 + c3) = 0

Multiply (ab2 + -1c3) * (ab2 + c3)
(ab2(ab2 + c3) + -1c3 * (ab2 + c3)) = 0
((ab2 * ab2 + c3 * ab2) + -1c3 * (ab2 + c3)) = 0

Reorder the terms:
((ab2c3 + a2b4) + -1c3 * (ab2 + c3)) = 0
((ab2c3 + a2b4) + -1c3 * (ab2 + c3)) = 0
(ab2c3 + a2b4 + (ab2 * -1c3 + c3 * -1c3)) = 0
(ab2c3 + a2b4 + (-1ab2c3 + -1c6)) = 0

Reorder the terms:
(ab2c3 + -1ab2c3 + a2b4 + -1c6) = 0

Combine like terms: ab2c3 + -1ab2c3 = 0
(0 + a2b4 + -1c6) = 0
(a2b4 + -1c6) = 0

Solving
a2b4 + -1c6 = 0

Solving for variable 'a'.

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

Add 'c6' to each side of the equation.
a2b4 + -1c6 + c6 = 0 + c6

Combine like terms: -1c6 + c6 = 0
a2b4 + 0 = 0 + c6
a2b4 = 0 + c6
Remove the zero:
a2b4 = c6

Divide each side by 'b4'.
a2 = b-4c6

Simplifying
a2 = b-4c6

Take the square root of each side:
a = {-1b-2c3, b-2c3}