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Combine like terms.

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

Combine like terms.\newline2x22x236x27y26 2-x^{2}-2 x^{2}-3-6 x^{2}-7 y^{2}-6 \newlineAnswer:

Full solution

Q. Combine like terms.\newline2x22x236x27y26 2-x^{2}-2 x^{2}-3-6 x^{2}-7 y^{2}-6 \newlineAnswer:
  1. Combine Constants: Combine the constant terms: 2362 - 3 - 6. Add these numbers together to get the combined constant term.\newlineCalculation: 236=16=72 - 3 - 6 = -1 - 6 = -7.
  2. Combine x2x^2 Terms: Combine the x2x^2 terms: x22x26x2-x^2 - 2x^2 - 6x^2. Add the coefficients of these terms together to get the combined x2x^2 term.\newlineCalculation: 1x22x26x2=(126)x2=9x2-1x^2 - 2x^2 - 6x^2 = (-1 - 2 - 6)x^2 = -9x^2.
  3. No Like Terms for y2y^2: The y2y^2 term does not have any like terms to combine with, so it remains unchanged as 7y2-7y^2.
  4. Write Final Expression: Write the final expression by combining the results from the previous steps. The combined constant term is 7-7, the combined x2x^2 term is 9x2-9x^2, and the y2y^2 term is 7y2-7y^2. Final expression: 9x27y27-9x^2 - 7y^2 - 7.

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