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Combine like terms.

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

Combine like terms.\newline7y35x+3y33x3+2x2y35x3 7 y^{3}-5 x+3 y^{3}-3 x^{3}+2 x-2 y^{3}-5 x^{3} \newlineAnswer:

Full solution

Q. Combine like terms.\newline7y35x+3y33x3+2x2y35x3 7 y^{3}-5 x+3 y^{3}-3 x^{3}+2 x-2 y^{3}-5 x^{3} \newlineAnswer:
  1. Identify and Group Like Terms: Identify and group like terms in the expression.\newlineThe like terms are those with the same variable raised to the same power. Grouping them gives us:\newline- Terms with y3 y^3 : 7y3 7y^3 , 3y3 3y^3 , and 2y3 -2y^3 \newline- Terms with x x : 5x -5x and 2x 2x \newline- Terms with x3 x^3 : 3x3 -3x^3 and 5x3 -5x^3
  2. Combine Terms with y^33: Combine the terms with y3 y^3 .\newlineAdding 7y3+3y32y3 7y^3 + 3y^3 - 2y^3 gives us 8y3 8y^3 .
  3. Combine Terms with x: Combine the terms with x x .\newlineAdding 5x+2x -5x + 2x gives us 3x -3x .
  4. Combine Terms with x^33: Combine the terms with x3 x^3 .\newlineAdding 3x35x3 -3x^3 - 5x^3 gives us 8x3 -8x^3 .
  5. Write Final Expression: Write the final expression with the combined like terms.\newlineThe final expression is 8y33x8x3 8y^3 - 3x - 8x^3 .

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