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Simplify the fraction completely. If the fraction does not simplify, submit the fraction in its current form. (36)/(33x^(2)) Answer:

Simplify the fraction completely. If the fraction does not simplify, submit the fraction in its current form.\newline3633x2 \frac{36}{33 x^{2}} \newlineAnswer:

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Csc, sec, and cot of special anglesright chevron icon

Full solution

Q. Simplify the fraction completely. If the fraction does not simplify, submit the fraction in its current form.\newline3633x2 \frac{36}{33 x^{2}} \newlineAnswer:
  1. Factor Out Common Factors: Factor out the common factors in the numerator and the denominator. \newline3636 can be factored into 3×123 \times 12, and 3333 can be factored into 3×113 \times 11. Since 33 is a common factor in both the numerator and the denominator, we can simplify the fraction by dividing both by 33.\newline(36)/(33x^{2}) = (3 \times 12)/(3 \times 11x^{2})\(\newline= (12)/(11x^{2})\)
  2. Simplify by Dividing: Check if there are any more common factors that can be simplified.\newlineThe numerator 1212 and the denominator 11x211x^{2} do not have any common factors other than 11, and the variable xx in the denominator cannot be simplified with any number in the numerator.\newlineTherefore, the fraction is already in its simplest form.

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