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Simplify. Write your answer using whole numbers and variables.\newlinep2+3pp+3\frac{p^2 + 3p}{p + 3}

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Full solution

Q. Simplify. Write your answer using whole numbers and variables.\newlinep2+3pp+3\frac{p^2 + 3p}{p + 3}
  1. Identify Expression: Identify the expression to simplify.\newlineWe have the expression (p2+3p)/(p+3)(p^2 + 3p) / (p + 3). We need to determine if the numerator can be factored to simplify the expression.
  2. Factor Numerator: Factor the numerator if possible.\newlineThe numerator is p2+3pp^2 + 3p, which can be factored as p(p+3)p(p + 3) because pp is a common factor of both terms.\newlinep2+3p=p(p+3)p^2 + 3p = p(p + 3)
  3. Rewrite Expression: Rewrite the expression with the factored numerator.\newlineNow we have the expression (p(p+3))/(p+3)(p(p + 3)) / (p + 3).
  4. Simplify by Canceling: Simplify the expression by canceling out the common factor.\newlineSince (p+3)(p + 3) is in both the numerator and the denominator, we can cancel it out, leaving us with just pp.\newlinep(p+3)p+3=p\frac{p(p + 3)}{p + 3} = p

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