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Simplify. Write your answer using whole numbers and variables.\newline4r29r40r\frac{4r^2 - 9r}{40r}

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Q. Simplify. Write your answer using whole numbers and variables.\newline4r29r40r\frac{4r^2 - 9r}{40r}
  1. Identify common factors: Identify common factors in the numerator and denominator.\newlineWe have the expression 4r29r/40r4r^2 - 9r/40r. We can see that 'rr' is a common factor in the numerator and the denominator.
  2. Factor out common 'r': Factor out the common 'r' from the numerator.\newlineWe can write the numerator as r(4r9)r(4r - 9).\newlineSo the expression becomes r(4r9)40r\frac{r(4r - 9)}{40r}.
  3. Simplify by canceling 'r': Simplify the expression by canceling out the common 'r' factor.\newlineThe 'r' in the numerator and the 'r' in the denominator cancel each other out.\newlineThis leaves us with (4r9)/40(4r - 9)/40.
  4. Check for more factors: Check if there are any more common factors that can be canceled.\newlineThere are no more common factors between the numerator and the denominator.\newlineSo, the expression is simplified to (4r9)/40(4r - 9)/40.

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