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Find the greatest common factor.\newline9s29s^2, 3s33s^3\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.\newline9s29s^2, 3s33s^3\newlineWrite your answer as a constant times a product of single variables raised to exponents.\newline______
  1. Factorization of 9s29s^2: First, find the complete factorization of 9s29s^2.\newline9=3×39 = 3 \times 3\newlines2=s×ss^2 = s \times s\newline9s2=3×3×s×s9s^2 = 3 \times 3 \times s \times s
  2. Factorization of 3s33s^3: Now, find the complete factorization of 3s33s^3.\newline3=33 = 3\newlines3=s×s×ss^3 = s \times s \times s\newline3s3=3×s×s×s3s^3 = 3 \times s \times s \times s
  3. Find Greatest Common Factor: We found:\newline9s2=3×3×s×s9s^2 = 3 \times 3 \times s \times s\newline3s3=3×s×s×s3s^3 = 3 \times s \times s \times s\newlineFind the greatest common factor of 9s29s^2 and 3s33s^3.\newlineCommon factors are 33, ss, and ss.\newline3×s×s=3s23 \times s \times s = 3s^2\newlineGreatest common factor: 3s23s^2

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