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91Ó°ÊÓ

Factor each polynomial. $$x^{3}-4+3 x^{3} y-12 y$$

Short Answer

Expert verified
The factored form of the given polynomial \(x^{3}-4+3 x^{3} y-12 y\) is \((x^{3} - 4)(1 + 3y)\).

Step by step solution

01

Organize the polynomial

Rearrange the expression in a way that similar terms are together. It will give us: \(x^{3}(1 + 3y) - 4(1 + 3y)\).
02

Factoring the polynomial

Next, look for common factors in all the terms. Here, \(1 + 3y\) is a common factor. So, one can factor out \(1 + 3y\) from the polynomial. This gives us: \((x^{3} - 4)(1 + 3y)\).

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