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Simplify. Write your answer using whole numbers and variables.\newlinew+7w2+7w\frac{w + 7}{w^2 + 7w}

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Q. Simplify. Write your answer using whole numbers and variables.\newlinew+7w2+7w\frac{w + 7}{w^2 + 7w}
  1. Combine Like Terms: Combine like terms in the expression.\newlineThe expression given is w+7w2+7ww + \frac{7}{w^2} + 7w. We need to combine like terms, which are terms that have the same variable raised to the same power. In this case, we have two terms with the variable ww to the first power: ww and 7w7w.\newlinew+7w=(1+7)w=8ww + 7w = (1 + 7)w = 8w
  2. Rewrite Expression: Rewrite the expression with the combined like terms.\newlineNow that we have combined the like terms, we rewrite the expression:\newlinew+7w2+7ww + \frac{7}{w^2} + 7w becomes 8w+7w28w + \frac{7}{w^2}
  3. Check for Simplifications: Check for any further simplifications.\newlineThe expression 8w+7w28w + \frac{7}{w^2} cannot be simplified further because the terms do not have the same variable raised to the same power. The first term has ww to the first power, and the second term has ww to the negative second power.

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