Step-by-step explanation:
[tex] \tt{(4 {x}^{3} + 2x + 6) + (2 {x}^{3} - {x}^{2} + 2) }[/tex]
Remove the unnecessary parentheses.
⟶ [tex] \tt{4 {x}^{3} + 2x + 6 + 2 {x}^{3} - {x}^{2} + 2}[/tex]
Combine like terms. Like terms are those which have the same base. Note that only coefficients of like terms can be added or subtracted.
⟶ [tex] \tt{4 {x}^{3} + 2 {x}^{3} + 2x + 6 + 2 - {x}^{2} }[/tex]
⟶ [tex] \tt{6 {x}^{3} + 2 x + 8 - {x}}^{2} [/tex]
As we are asked to write the answer in standard form , we have to rewrite the expression 6x³ +2x + 8 - x² in such a way that the power of the variables goes from highest to lowest.
[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \tt{6 {x}^{3} - {x}^{2} + 2x + 8}}}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
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