Step-by-step explanation:
[tex] \tt{(5 {x}^{3} - 3x + 6) - (2 {x}^{2} - 4x + 8)}[/tex]
While subtracting , the sign of each term of second expression changes & remove the parentheses.
⟶ [tex] \tt{5 {x}^{3} - 3x + 6 - 2 {x}^{2} + 4x - 8}[/tex]
Combine like terms. Like terms are those which have the same base. Only coefficients of like terms can be added or subtracted.
⟶ [tex] \tt{5 {x}^{3} - 3x + 4x + 6 - 8 - 2 {x}}^{2} [/tex]
⟶ [tex] \tt{5 {x}^{3} + x - 2 - 2 {x}^{2} }[/tex]
In standard from , the expression should be written in such a way that the power of variables goes from highest to lowest.
[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \tt{5 {x}^{3} - 2 {x}^{2} + x - 2}}}}}}[/tex]
Hope I helped ! ♡
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