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Factor the expression completely.

-40x^(2)-5x^(3)
Answer:

Factor the expression completely.\newline40x25x3 -40 x^{2}-5 x^{3} \newlineAnswer:

Full solution

Q. Factor the expression completely.\newline40x25x3 -40 x^{2}-5 x^{3} \newlineAnswer:
  1. Identify GCF: Identify the greatest common factor (GCF) of the terms in the expression 40x25x3-40x^2 - 5x^3.\newlineThe GCF of 40x2-40x^2 and 5x3-5x^3 is 5x2-5x^2, since 5-5 is the largest number that divides both 40-40 and 5-5, and x2x^2 is the highest power of xx that is a factor of both terms.
  2. Factor out GCF: Factor out the GCF from each term in the expression.\newline40x25x3=5x2(8+x)-40x^2 - 5x^3 = -5x^2(8 + x)\newlineWe divide each term by 5x2-5x^2 to find the remaining factors.
  3. Check for further factoring: Check the factored expression for any additional factoring possibilities.\newlineThe expression inside the parentheses, 8+x8 + x, cannot be factored further since it is a sum of two terms that do not have a common factor other than 11.

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