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Factor the expression completely.

-27x^(4)+6x^(3)
Answer:

Factor the expression completely.\newline27x4+6x3 -27 x^{4}+6 x^{3} \newlineAnswer:

Full solution

Q. Factor the expression completely.\newline27x4+6x3 -27 x^{4}+6 x^{3} \newlineAnswer:
  1. Identify GCF: Identify the greatest common factor (GCF) of the terms in the expression 27x4+6x3-27x^{4}+6x^{3}.\newlineThe GCF of 27-27 and 66 is 33. Both terms also have a common factor of x3x^3.\newlineGCF = 3x33x^3
  2. Factor out GCF: Factor out the GCF from each term in the expression.\newline27x4+6x3=3x3(9x+2)-27x^{4} + 6x^{3} = 3x^3(-9x + 2)
  3. Check for further factoring: Check if the remaining expression inside the parentheses can be factored further.\newlineThe expression inside the parentheses is 9x+2-9x + 2, which cannot be factored further since it is a linear expression with no common factors.
  4. Write final factored form: Write down the final factored form of the expression.\newlineThe completely factored form of the expression is 3x3(9x+2)3x^3(-9x + 2).

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