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Factor the expression completely.

24 x+15
Answer:

Factor the expression completely.\newline24x+15 24 x+15 \newlineAnswer:

Full solution

Q. Factor the expression completely.\newline24x+15 24 x+15 \newlineAnswer:
  1. Identify GCF: Identify the greatest common factor (GCF) of the terms in the expression 24x+1524x + 15. The GCF of 2424 and 1515 is 33 because it is the largest number that divides both 2424 and 1515 without leaving a remainder.
  2. Factor out GCF: Factor out the GCF from each term in the expression.\newlineThe expression 24x24x can be written as 3×8x3 \times 8x, and the expression 1515 can be written as 3×53 \times 5.\newlineSo, factoring out the GCF of 33 from the expression gives us 3(8x+5)3(8x + 5).
  3. Check for Further Factoring: Check to see if the expression inside the parentheses can be factored further.\newlineThe expression 8x+58x + 5 does not have a common factor other than 11, and it is not a special product such as a difference of squares or a perfect square trinomial. Therefore, it cannot be factored further.

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