Question

3m^2+4mn-5n^2+(-m^2)-6mn+2n^2+3mn-n^2+3m^2+mn+4n^2

Answer 1

`5 {m}^(2) + 2mn`

solution,

`3 {m}^(2) + 4mn - 5 {n}^(2) + {( - m)}^(2) - 6mn + 2 {n}^(2) + 3mn - {n}^(2) + 3 {m}^(2) + mn + 4 {n}^(2) \\ = 3 {m}^(2) + 4mn - 5 {n}^(2) - {m}^(2) - 6mn + 2 {n}^(2) + 3mn - {n}^(2) + 3 {m}^(2) + mn + 4 {n}^(2) \\`

Collect like terms:

`3 {m}^(2) - {m}^(2) + 3 {m}^(2) - 5 {n}^(2) + 2 {n}^(2) - {n}^(2) + 4 {n}^(2) + 4mn - 6mn + 3mn + mn \\`

Simplify:

`= 5 {m}^(2) - 4 {n}^(2) + 4 {n}^(2) + mn + mn \\ = 5 {m}^(2) + 2mn`

Hope this helps..

Good luck on your assignment..

Answer 2

5m^2 + 2mn

Explanation: