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Factor the expression completely.

8x^(3)+18 x
Answer:

Factor the expression completely.\newline8x3+18x 8 x^{3}+18 x \newlineAnswer:

Full solution

Q. Factor the expression completely.\newline8x3+18x 8 x^{3}+18 x \newlineAnswer:
  1. Identify GCF of terms: Identify the greatest common factor (GCF) of the terms in the expression 8x38x^3 and 18x18x. The GCF of 88 and 1818 is 22. Both terms also have an xx in common, so the GCF is 2x2x.
  2. Factor out GCF: Factor out the GCF from the expression. 2x(4x2+9)2x(4x^2 + 9)
  3. Check for further factoring: Check if the remaining expression inside the parentheses can be factored further.\newlineThe expression 4x2+94x^2 + 9 is a sum of squares and cannot be factored over the real numbers.

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