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Combine like terms.

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

Combine like terms.\newline5y2+x23x2+6x25y2+4x3+3x3 -5 y^{2}+x^{2}-3 x^{2}+6 x^{2}-5 y^{2}+4 x^{3}+3 x^{3} \newlineAnswer:

Full solution

Q. Combine like terms.\newline5y2+x23x2+6x25y2+4x3+3x3 -5 y^{2}+x^{2}-3 x^{2}+6 x^{2}-5 y^{2}+4 x^{3}+3 x^{3} \newlineAnswer:
  1. Combine x2x^2 terms: Combine the terms with the same variable and exponent. Start with the x2x^2 terms: 3x2+6x2-3x^2 + 6x^2.\newlineCalculation: 3x2+6x2=3x2-3x^2 + 6x^2 = 3x^2.
  2. Combine x3x^3 terms: Combine the x3x^3 terms: 4x3+3x34x^3 + 3x^3.\newlineCalculation: 4x3+3x3=7x34x^3 + 3x^3 = 7x^3.
  3. Combine y2y^2 terms: Combine the y2y^2 terms: 5y25y2-5y^2 - 5y^2.\newlineCalculation: 5y25y2=10y2-5y^2 - 5y^2 = -10y^2.
  4. Write final expression: Now, write down the combined terms together to get the final simplified expression.\newlineCalculation: 3x2+7x310y23x^2 + 7x^3 - 10y^2.

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