For this case we must simplify the following expression:
![x ^ 2-3xy-5xy-7y ^ 2 + 4x ^ 2 + 8y ^ 2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/6zjl6d1ln3yh8hlreb3p9anmrl3t06x5pj.png)
We must add similar terms taking into account that:
- Equal signs are added and the same sign is placed.
- Different signs are subtracted and the major sign is placed.
![(x ^ 2 + 4x ^ 2) + (- 3xy-5xy) + (- 7y ^ 2 + 8y ^ 2) =\\5x ^ 2-8xy + y ^ 2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/nekcm89ibe8bj5fo39xqi7wmxjseqrzypw.png)
Thus, the simplified expression is:
![5x ^ 2-8xy + y ^ 2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/bwcndipf86rp0sithqjrdmytiyq128wt9v.png)
Answer:
![5x ^ 2-8xy + y ^ 2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/bwcndipf86rp0sithqjrdmytiyq128wt9v.png)