Which terms could have a greatest common factor of 5m2n2? check all that apply. m5n5 5m4n3 10m4n 15m2n2 24m3n4
There are two terms that could have a greatest common factor of 5m2n2, and those are 5m4n3 and 15m2n2.
Answer: The correct options are \(15m^2n^2\&5m^4n^3\).
Step-by-step explanation:
Desired factors = \(5m^2n^2\)= 5 × m × m × n × n
Factors of given option are:
\(m^5n^5\) = m × m × m × m × m × n × n × n × n × n
\(5m^4n^3\) = 5 × m × m × m × m × n × n × n
\(10m^4n\) = 2 × 5 × m × m × m × m × n
\(15m^2n^2\) = 3 × 5 × m × m × n × n
\(24m^3n^4\) = 2 × 2 × 2 × 3 × m × m × m × n × n × n × n
Hence,the correct options are \(15m^2n^2 \& 5m^4n^3\).