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Factor the following polynomial. If the polynomial will not factor, choose "prime." a³b+a²b²+ab³

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Final answer:

To factor the polynomial a³b + a²b² + ab³, we can first look for a common factor among the terms. In this case, the expression has a common factor of ab. Factoring out the common factor, we get ab(a² + ab + b²). The expression a² + ab + b² cannot be factored further, so the factored form of the polynomial is ab(a² + ab + b²).

Step-by-step explanation:

To factor the polynomial a³b + a²b² + ab³, we can first look for a common factor among the terms. In this case, the expression has a common factor of ab. Factoring out the common factor, we get ab(a² + ab + b²).

The expression a² + ab + b² cannot be factored further, so the factored form of the polynomial is ab(a² + ab + b²).

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