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Factor the expression completely.

-x-3x^(4)
Answer:

Factor the expression completely.\newlinex3x4 -x-3 x^{4} \newlineAnswer:

Full solution

Q. Factor the expression completely.\newlinex3x4 -x-3 x^{4} \newlineAnswer:
  1. Identify Common Factor: Identify the common factor in both terms.\newlineBoth terms x-x and 3x4-3x^4 have a common factor of xx.
  2. Factor Out GCF: Factor out the greatest common factor from both terms.\newlineThe greatest common factor is x-x. Factoring x-x out of both terms gives us x(1+3x3)-x(1 + 3x^3).
  3. Check Further Factoring: Check if the remaining expression inside the parentheses can be factored further.\newlineThe expression 1+3x31 + 3x^3 cannot be factored further using real numbers, as it is not a difference of cubes or any other factorable form.
  4. Write Final Form: Write down the final factored form of the expression.\newlineThe completely factored form of the expression is x(1+3x3)-x(1 + 3x^3).

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