Question

Which expression is equivalent to 2m^2-m^2(7-m)+6m^2

1. m^2-m
2. -m^3+13m^2
3. -m^3+m^2
4. m^3+m^2

Answer 1

Answer: 4. m³ + m²

Explanation:

`{ \rm{ {2m}^(2) - {m}^(2) (7 - m) + {6m}^(2) }} \\ \\ { \rm{ = {2m}^(2) - {7m}^(2) + {m}^(3) + 6 {m}^(2) }} \\ \\ { \rm{ = (2 - 7 + 6) {m}^(2) + {m}^(3) }} \\ \\ = { \rm{ {m}^(3) + {m}^(2) }}`