Step-by-step explanation:
[tex] \tt{(6 {x}^{3} + 3 {x}^{2} + 3) + (2 {x}^{3} - 5x + 1) }[/tex]
Remove the unnecessary parentheses
⟶ [tex] \tt{6 {x}^{3} + 3 {x}^{2} + 3 + 2 {x}^{3} - 5x + 1 }[/tex]
Combine like terms. Like terms are those which have the same base. Remember that only coefficients of like terms can be added or subtracted and their bases remains the same.
⟶ [tex] \tt{6 {x}^{3} + 2 {x}^{3} +3 {x}^{2} + 3 + 1 - 5x}[/tex]
⟶ [tex] \tt{8 {x}^{3} + 3 {x}^{2} + 4 - 5x}[/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 {\underline{ \tt{8 {x}^{3} + 3 {x}^{2} - 5x + 4}}}}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
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