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Simplify. Write your answer using whole numbers and variables.\newlinep2+7pp+7\frac{p^2 + 7p}{p + 7}

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Full solution

Q. Simplify. Write your answer using whole numbers and variables.\newlinep2+7pp+7\frac{p^2 + 7p}{p + 7}
  1. Identify Expression: Identify the expression to be simplified.\newlineWe have the expression (p2+7p)/(p+7)(p^2 + 7p) / (p + 7). We need to determine if the numerator can be factored to simplify the expression.
  2. Factor Numerator: Factor the numerator if possible.\newlineThe numerator p2+7pp^2 + 7p can be factored by taking out the common factor pp, which gives us p(p+7)p(p + 7).
  3. Rewrite Expression: Rewrite the expression with the factored numerator.\newlineNow the expression looks like (p(p+7))/(p+7)(p(p + 7)) / (p + 7).
  4. Cancel Common Factors: Cancel out the common factors in the numerator and the denominator.\newlineThe (p+7)(p + 7) in the numerator and the denominator cancel each other out, leaving us with just pp.
  5. Write Final Expression: Write the final simplified expression.\newlineThe simplified expression is pp.

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