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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 be simplified.\newlineThe expression given is (p2−3p)/(p−3)(p^2 - 3p)/(p - 3). We need to simplify this expression.
  2. Factor Numerator: Factor the numerator if possible.\newlineThe numerator p2−3pp^2 - 3p can be factored by taking out the common factor pp.\newlinep2−3p=p(p−3)p^2 - 3p = p(p - 3)
  3. Cancel Common Factors: Simplify the expression by canceling out common factors.\newlineThe expression now looks like this: p(p−3)/(p−3)p(p - 3)/(p - 3). We can cancel out the common factor (p−3)(p - 3) from the numerator and the denominator.\newlinep(p−3)/(p−3)=pp(p - 3)/(p - 3) = p
  4. Write Final Expression: Write the final simplified expression.\newlineAfter canceling out the common factor, we are left with pp as the simplified expression.

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