Step-by-step explanation:
[tex] \tt{( - 2 {x}^{2} + 3) - (3 {x}^{2} + 4x - 5)}[/tex]
Remember : While subtracting , the sign of each term of second expression changes & remove the parentheses.
⟶ [tex] \tt{ - 2 {x}^{2} + 3 - 3 {x}^{2} - 4x + 5}[/tex]
Combine like terms. Like terms are those while have the same base.Only coefficients of like terms can be added or subtracted.
⟶ [tex] \tt{ - 2 {x}^{2} - 3 {x}^{2} + 3 + 5 - 4x}[/tex]
⟶[tex] \tt{ - 5 {x}^{2} + 8 - 4x}[/tex]
In standard form , the expression should be written in a way that power of variables goes from highest to lowest.
[tex] \red{ \boxed {\boxed{ \tt{Our \: final \: answer : \boxed{ \tt{ - 5 {x}^{2} - 4x + 8}}}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
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