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Combine like terms.

5y^(3)+7y^(2)-4y^(3)-3y^(2)-2y^(2)+x+4y^(3)
Answer:

Combine like terms.\newline5y3+7y24y33y22y2+x+4y3 5 y^{3}+7 y^{2}-4 y^{3}-3 y^{2}-2 y^{2}+x+4 y^{3} \newlineAnswer:

Full solution

Q. Combine like terms.\newline5y3+7y24y33y22y2+x+4y3 5 y^{3}+7 y^{2}-4 y^{3}-3 y^{2}-2 y^{2}+x+4 y^{3} \newlineAnswer:
  1. Combine y3y^3 terms: Combine the terms with y3y^3. We have 5y35y^3, 4y3-4y^3, and 4y34y^3. Adding these together gives us:\newline5y34y3+4y3=(54+4)y3=5y35y^3 - 4y^3 + 4y^3 = (5 - 4 + 4)y^3 = 5y^3.
  2. Combine y2y^2 terms: Combine the terms with y2y^2. We have 7y27y^2, 3y2-3y^2, and 2y2-2y^2. Adding these together gives us:\newline7y23y22y2=(732)y2=2y27y^2 - 3y^2 - 2y^2 = (7 - 3 - 2)y^2 = 2y^2.
  3. Combine xx term: The term with xx remains unchanged as there are no other xx terms to combine it with.
  4. Final expression: Now, we add up all the combined terms along with the unchanged xx term to get the final expression: 5y3+2y2+x5y^3 + 2y^2 + x.

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