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Click and drag like terms onto each other to simplify fully. -2x^(2)-5y+7y^(2)-5x-2y+y-4y^(2)

Click and drag like terms onto each other to simplify fully.\newline−2x2−5y+7y2−5x−2y+y−4y2 -2 x^{2}-5 y+7 y^{2}-5 x-2 y+y-4 y^{2}

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Q. Click and drag like terms onto each other to simplify fully.\newline−2x2−5y+7y2−5x−2y+y−4y2 -2 x^{2}-5 y+7 y^{2}-5 x-2 y+y-4 y^{2}
  1. Identify Like Terms: Identify like terms in the expression. Like terms are terms that have the same variables raised to the same powers.\newline−2x2-2x^{2} and −5x-5x are not like terms because they have different powers of xx.\newline−5y-5y, −2y-2y, and yy are like terms because they all have the variable yy to the first power.\newline7y27y^{2} and −4y2-4y^{2} are like terms because they both have the variable yy to the second power.
  2. Combine Like Terms with yy: Combine the like terms involving yy to the first power: −5y−2y+y-5y - 2y + y.\newline−5y−2y+y=−5−2+1=−6y-5y - 2y + y = -5 - 2 + 1 = -6y
  3. Combine Like Terms with y2y^2: Combine the like terms involving yy to the second power: 7y2−4y27y^{2} - 4y^{2}.\newline7y2−4y2=3y27y^{2} - 4y^{2} = 3y^{2}
  4. Rewrite Expression: Now, rewrite the expression with the combined like terms: −2x2−5x−6y+3y2-2x^{2} - 5x - 6y + 3y^{2}
  5. Check for Further Simplifications: Check if there are any more like terms to combine or any other simplifications that can be made.\newlineThere are no more like terms, and the expression cannot be simplified further.

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