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Simplify. Write your answer using whole numbers and variables.\newlineh2+h24h\frac{h^2+h}{24h}

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Full solution

Q. Simplify. Write your answer using whole numbers and variables.\newlineh2+h24h\frac{h^2+h}{24h}
  1. Identify Terms: Identify the terms in the numerator and the denominator of the fraction. The numerator is h2+hh^2 + h, and the denominator is 24h24h.
  2. Factor Out Common Term: Factor out the common term hh from the numerator.h2+hh^2 + h can be factored as h(h+1)h(h + 1).
  3. Simplify Fraction: Simplify the fraction by dividing the numerator and the denominator by the common term hh. h(h+1)24h\frac{h(h + 1)}{24h} simplifies to h+124\frac{h + 1}{24}, because hh=1\frac{h}{h} = 1.
  4. Check for Further Simplification: Check for any additional simplification. The expression (h+1)/24(h + 1) / 24 cannot be simplified further since there are no common factors between the numerator and the denominator.

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