Explanation:
![\tt{( - 2 {x}^(2) + 3) - (3 {x}^(2) + 4x - 5)}](https://img.qammunity.org/2022/formulas/mathematics/high-school/j00gsi703p7vzo907909sddxrizhgsv3vv.png)
Remember : While subtracting , the sign of each term of second expression changes & remove the parentheses.
⟶
![\tt{ - 2 {x}^(2) + 3 - 3 {x}^(2) - 4x + 5}](https://img.qammunity.org/2022/formulas/mathematics/high-school/hxi9xdfah734oqcld7ehlpe7cpcmuehng8.png)
Combine like terms. Like terms are those while have the same base.Only coefficients of like terms can be added or subtracted.
⟶
![\tt{ - 2 {x}^(2) - 3 {x}^(2) + 3 + 5 - 4x}](https://img.qammunity.org/2022/formulas/mathematics/high-school/3aqqgbxrmr9rqcdkqtgo7x6njeeoo4qtl9.png)
⟶
![\tt{ - 5 {x}^(2) + 8 - 4x}](https://img.qammunity.org/2022/formulas/mathematics/high-school/gpcha3j6fx0r48c51vj16s6hytfsvekisi.png)
In standard form , the expression should be written in a way that power of variables goes from highest to lowest.
![\red{ \boxed {\boxed{ \tt{Our \: final \: answer : \boxed{ \tt{ - 5 {x}^(2) - 4x + 8}}}}}}](https://img.qammunity.org/2022/formulas/mathematics/high-school/e6s0m421fca385167flb7s63bkeoxi653e.png)
Hope I helped ! ♡
Have a wonderful day / night ! ツ
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁