which terms could have a greatest common factor of 5m²n²? select two options.\n□m⁵n⁵\n□5m⁴n³\n□10m⁴n\n□15m²n²…

which terms could have a greatest common factor of 5m²n²? select two options.\n□m⁵n⁵\n□5m⁴n³\n□10m⁴n\n□15m²n²\n□24m³n⁴

Answer

Check if the coefficient is a multiple of 5 and if the variables have at least $m^{2}n^{2}$ as factors.

Coefficient is 1, not a multiple of 5, so it's not a candidate.

Coefficient is 5, and $m^{4}n^{3}=m^{2}n^{2}\times m^{2}n$, so it has $5m^{2}n^{2}$ as a factor.

Coefficient is 10 (multiple of 5), but $n$ has power 1, less than 2 in $5m^{2}n^{2}$, so not a candidate.

Coefficient is 15 (multiple of 5), and variables are $m^{2}n^{2}$, so it has $5m^{2}n^{2}$ as a factor.

Coefficient 24 is not a multiple of 5, so it's not a candidate.

B. $5m^{4}n^{3}$, D. $15m^{2}n^{2}$