a^3(a-b+1)-b^2(a-b+1)=

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Solution for a^3(a-b+1)-b^2(a-b+1)= equation: 


Simplifying
a3(a + -1b + 1) + -1b2(a + -1b + 1) = 0

Reorder the terms:
a3(1 + a + -1b) + -1b2(a + -1b + 1) = 0
(1 * a3 + a * a3 + -1b * a3) + -1b2(a + -1b + 1) = 0

Reorder the terms:
(1a3 + -1a3b + a4) + -1b2(a + -1b + 1) = 0
(1a3 + -1a3b + a4) + -1b2(a + -1b + 1) = 0

Reorder the terms:
1a3 + -1a3b + a4 + -1b2(1 + a + -1b) = 0
1a3 + -1a3b + a4 + (1 * -1b2 + a * -1b2 + -1b * -1b2) = 0

Reorder the terms:
1a3 + -1a3b + a4 + (-1ab2 + -1b2 + 1b3) = 0
1a3 + -1a3b + a4 + (-1ab2 + -1b2 + 1b3) = 0

Reorder the terms:
-1ab2 + 1a3 + -1a3b + a4 + -1b2 + 1b3 = 0

Solving
-1ab2 + 1a3 + -1a3b + a4 + -1b2 + 1b3 = 0

Solving for variable 'a'.

The solution to this equation could not be determined.

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