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Combine like terms.

5x^(3)+6y-2y-7x^(3)-4y^(2)+3y+5y^(2)
Answer:

Combine like terms.\newline5x3+6y2y7x34y2+3y+5y2 5 x^{3}+6 y-2 y-7 x^{3}-4 y^{2}+3 y+5 y^{2} \newlineAnswer:

Full solution

Q. Combine like terms.\newline5x3+6y2y7x34y2+3y+5y2 5 x^{3}+6 y-2 y-7 x^{3}-4 y^{2}+3 y+5 y^{2} \newlineAnswer:
  1. Combine x3x^3 terms: Combine the terms with x3x^3. We have 5x35x^3 and 7x3-7x^3.\newlineCalculation: 5x37x3=2x35x^3 - 7x^3 = -2x^3.
  2. Combine y terms: Combine the terms with y. We have 6y6y, 2y-2y, and 3y3y.\newlineCalculation: 6y2y+3y=7y6y - 2y + 3y = 7y.
  3. Combine y2y^2 terms: Combine the terms with y2y^2. We have 4y2-4y^2 and 5y25y^2.\newlineCalculation: 4y2+5y2=y2-4y^2 + 5y^2 = y^2.
  4. Combine all like terms: Combine all the like terms we have found to get the final simplified expression.\newlineCalculation: 2x3+7y+y2-2x^3 + 7y + y^2.

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