a^3x-a^2b(x-y)-ab^2(y-z)-b^3z=(a-b)(a^2x+aby+b^2z)

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Solution for a^3x-a^2b(x-y)-ab^2(y-z)-b^3z=(a-b)(a^2x+aby+b^2z) equation:

Simplifying
a³x + -1a²b(x + -1y) + -1ab²(y + -1z) + -1b³z = (a + -1b)(a²x + aby + b²z)
a³x + (x * -1a²b + -1y * -1a²b) + -1ab²(y + -1z) + -1b³z = (a + -1b)(a²x + aby + b²z)
a³x + (-1a²bx + 1a²by) + -1ab²(y + -1z) + -1b³z = (a + -1b)(a²x + aby + b²z)
a³x + -1a²bx + 1a²by + (y * -1ab² + -1z * -1ab²) + -1b³z = (a + -1b)(a²x + aby + b²z)
a³x + -1a²bx + 1a²by + (-1ab²y + 1ab²z) + -1b³z = (a + -1b)(a²x + aby + b²z)

Reorder the terms:
-1ab²y + 1ab²z + -1a²bx + 1a²by + a³x + -1b³z = (a + -1b)(a²x + aby + b²z)

Reorder the terms:
-1ab²y + 1ab²z + -1a²bx + 1a²by + a³x + -1b³z = (a + -1b)(aby + a²x + b²z)

Multiply (a + -1b) * (aby + a²x + b²z)
-1ab²y + 1ab²z + -1a²bx + 1a²by + a³x + -1b³z = (a(aby + a²x + b²z) + -1b * (aby + a²x + b²z))
-1ab²y + 1ab²z + -1a²bx + 1a²by + a³x + -1b³z = ((aby * a + a²x * a + b²z * a) + -1b * (aby + a²x + b²z))

Reorder the terms:
-1ab²y + 1ab²z + -1a²bx + 1a²by + a³x + -1b³z = ((ab²z + a²by + a³x) + -1b * (aby + a²x + b²z))
-1ab²y + 1ab²z + -1a²bx + 1a²by + a³x + -1b³z = ((ab²z + a²by + a³x) + -1b * (aby + a²x + b²z))
-1ab²y + 1ab²z + -1a²bx + 1a²by + a³x + -1b³z = (ab²z + a²by + a³x + (aby * -1b + a²x * -1b + b²z * -1b))
-1ab²y + 1ab²z + -1a²bx + 1a²by + a³x + -1b³z = (ab²z + a²by + a³x + (-1ab²y + -1a²bx + -1b³z))

Reorder the terms:
-1ab²y + 1ab²z + -1a²bx + 1a²by + a³x + -1b³z = (-1ab²y + ab²z + -1a²bx + a²by + a³x + -1b³z)
-1ab²y + 1ab²z + -1a²bx + 1a²by + a³x + -1b³z = (-1ab²y + ab²z + -1a²bx + a²by + a³x + -1b³z)

Add 'ab²y' to each side of the equation.
-1ab²y + 1ab²z + -1a²bx + 1a²by + a³x + ab²y + -1b³z = -1ab²y + ab²z + -1a²bx + a²by + a³x + ab²y + -1b³z

Reorder the terms:
-1ab²y + ab²y + 1ab²z + -1a²bx + 1a²by + a³x + -1b³z = -1ab²y + ab²z + -1a²bx + a²by + a³x + ab²y + -1b³z

Combine like terms: -1ab²y + ab²y = 0
0 + 1ab²z + -1a²bx + 1a²by + a³x + -1b³z = -1ab²y + ab²z + -1a²bx + a²by + a³x + ab²y + -1b³z
1ab²z + -1a²bx + 1a²by + a³x + -1b³z = -1ab²y + ab²z + -1a²bx + a²by + a³x + ab²y + -1b³z

Reorder the terms:
1ab²z + -1a²bx + 1a²by + a³x + -1b³z = -1ab²y + ab²y + ab²z + -1a²bx + a²by + a³x + -1b³z

Combine like terms: -1ab²y + ab²y = 0
1ab²z + -1a²bx + 1a²by + a³x + -1b³z = 0 + ab²z + -1a²bx + a²by + a³x + -1b³z
1ab²z + -1a²bx + 1a²by + a³x + -1b³z = ab²z + -1a²bx + a²by + a³x + -1b³z

Add 'a²bx' to each side of the equation.
1ab²z + -1a²bx + 1a²by + a³x + a²bx + -1b³z = ab²z + -1a²bx + a²by + a³x + a²bx + -1b³z

Reorder the terms:
1ab²z + -1a²bx + a²bx + 1a²by + a³x + -1b³z = ab²z + -1a²bx + a²by + a³x + a²bx + -1b³z

Combine like terms: -1a²bx + a²bx = 0
1ab²z + 0 + 1a²by + a³x + -1b³z = ab²z + -1a²bx + a²by + a³x + a²bx + -1b³z
1ab²z + 1a²by + a³x + -1b³z = ab²z + -1a²bx + a²by + a³x + a²bx + -1b³z

Reorder the terms:
1ab²z + 1a²by + a³x + -1b³z = ab²z + -1a²bx + a²bx + a²by + a³x + -1b³z

Combine like terms: -1a²bx + a²bx = 0
1ab²z + 1a²by + a³x + -1b³z = ab²z + 0 + a²by + a³x + -1b³z
1ab²z + 1a²by + a³x + -1b³z = ab²z + a²by + a³x + -1b³z

Add '-1a³x' to each side of the equation.
1ab²z + 1a²by + a³x + -1a³x + -1b³z = ab²z + a²by + a³x + -1a³x + -1b³z

Combine like terms: a³x + -1a³x = 0
1ab²z + 1a²by + 0 + -1b³z = ab²z + a²by + a³x + -1a³x + -1b³z
1ab²z + 1a²by + -1b³z = ab²z + a²by + a³x + -1a³x + -1b³z

Combine like terms: a³x + -1a³x = 0
1ab²z + 1a²by + -1b³z = ab²z + a²by + 0 + -1b³z
1ab²z + 1a²by + -1b³z = ab²z + a²by + -1b³z

Add 'b³z' to each side of the equation.
1ab²z + 1a²by + -1b³z + b³z = ab²z + a²by + -1b³z + b³z

Combine like terms: -1b³z + b³z = 0
1ab²z + 1a²by + 0 = ab²z + a²by + -1b³z + b³z
1ab²z + 1a²by = ab²z + a²by + -1b³z + b³z

Combine like terms: -1b³z + b³z = 0
1ab²z + 1a²by = ab²z + a²by + 0
1ab²z + 1a²by = ab²z + a²by

Solving
1ab²z + 1a²by = ab²z + a²by

Solving for variable 'a'.

Reorder the terms:
1ab²z + -1ab²z + 1a²by + -1a²by = ab²z + a²by + -1ab²z + -1a²by

Combine like terms: 1ab²z + -1ab²z = 0
0 + 1a²by + -1a²by = ab²z + a²by + -1ab²z + -1a²by
1a²by + -1a²by = ab²z + a²by + -1ab²z + -1a²by

Combine like terms: 1a²by + -1a²by = 0
0 = ab²z + a²by + -1ab²z + -1a²by

Reorder the terms:
0 = ab²z + -1ab²z + a²by + -1a²by

Combine like terms: ab²z + -1ab²z = 0
0 = 0 + a²by + -1a²by
0 = a²by + -1a²by

Combine like terms: a²by + -1a²by = 0
0 = 0

The solution to this equation could not be determined.

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a^3x-a^2b(x-y)-ab^2(y-z)-b^3z=(a-b)(a^2x+aby+b^2z)

Simple and best practice solution for a^3x-a^2b(x-y)-ab^2(y-z)-b^3z=(a-b)(a^2x+aby+b^2z) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homewo

Solution for a^3x-a^2b(x-y)-ab^2(y-z)-b^3z=(a-b)(a^2x+aby+b^2z) equation:

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