factorise a²bx+2a²cx-2aby-4acy+bz+2cz
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a²bx + 2a²cx - 2aby - 4acy + bz + 2cz
= a²x (b + 2c) - 2ay (b + 2c) + z (b + 2c)
= (b + 2c) (a²x - 2ay + z),
which is the required factorization.
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