Question

Which terms could have a greatest common factor of 5m2n2? check all that apply. m5n5 5m4n3 10m4n 15m2n2 24m3n4

Answer 1

There are two terms that could have a greatest common factor of 5m2n2, and those are 5m4n3 and 15m2n2.

Answer 2

Answer: The correct options are
`15m^2n^2\&5m^4n^3`.

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`.