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Simplify. Write your answer using whole numbers and variables.\newline5n2−3n5n−3\frac{5n^2 - 3n}{5n - 3}

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Full solution

Q. Simplify. Write your answer using whole numbers and variables.\newline5n2−3n5n−3\frac{5n^2 - 3n}{5n - 3}
  1. Identify Terms: Identify the terms in the numerator and the denominator.\newlineThe expression is a fraction with a polynomial in the numerator and a binomial in the denominator.\newlineNumerator: 5n2−3n5n^2 - 3n\newlineDenominator: 5n−35n - 3
  2. Factor Greatest Common Factor: Factor out the greatest common factor in the numerator.\newlineThe greatest common factor in the numerator is nn.\newline5n2−3n=n(5n−3)5n^2 - 3n = n(5n - 3)
  3. Rewrite with Factored Numerator: Rewrite the expression with the factored numerator.\newlineThe expression now looks like this:\newlinen(5n−3)5n−3\frac{n(5n - 3)}{5n - 3}
  4. Cancel Common Terms: Cancel out the common terms in the numerator and the denominator.\newlineThe term (5n−3)(5n - 3) is common to both the numerator and the denominator, so we can cancel it out.\newlineThe simplified expression is nn.

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