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Simplify. Write your answer using whole numbers and variables.\newlineg2+8g18g\frac{g^2 + 8g}{18g}

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Full solution

Q. Simplify. Write your answer using whole numbers and variables.\newlineg2+8g18g\frac{g^2 + 8g}{18g}
  1. Identify Terms: Identify the terms in the numerator and the denominator.\newlineThe numerator is g2+8gg^2 + 8g, and the denominator is 18g18g.
  2. Factor Out Common Term: Factor out the common term gg from the numerator.g(g+8)g(g + 8) is the factored form of the numerator.
  3. Simplify Expression: Simplify the expression by dividing the numerator by the denominator.\newlineSince gg is a common term in both the numerator and the denominator, we can cancel it out. This leaves us with (g+8)/18(g + 8)/18.
  4. Check for Further Simplification: Check if the expression can be simplified further. The expression (g+8)/18(g + 8)/18 cannot be simplified further because 88 and 1818 have no common factors other than 11, and gg is not a factor of 1818.

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