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Find the greatest common factor.\newline3q23q^2, 9q9q\newlineWrite your answer as a constant times a product of single variables raised to exponents.\newline______

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Full solution

Q. Find the greatest common factor.\newline3q23q^2, 9q9q\newlineWrite your answer as a constant times a product of single variables raised to exponents.\newline______
  1. Factorization of 3q23q^2: First find the complete factorization of 3q23q^2.\newline3=33 = 3\newlineq2=q×qq^2 = q \times q\newline3q2=3×q×q3q^2 = 3 \times q \times q
  2. Factorization of 9q9q: Now, find the complete factorization of 9q9q.9=3×39 = 3 \times 3q=qq = q9q=3×3×q9q = 3 \times 3 \times q
  3. Find Greatest Common Factor: We found:\newline3q2=3×q×q3q^2 = 3 \times q \times q\newline9q=3×3×q9q = 3 \times 3 \times q\newlineFind the greatest common factor of 3q23q^2 and 9q9q.\newlineCommon factors are 33 and qq.\newline3×q=3q3 \times q = 3q\newlineGreatest common factor: 3q3q

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