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

Identify Like Terms: Identify like terms in the expression. Like terms are terms that have the same variables raised to the same powers. -2x^(2) and -5x are not like terms because they have different powers of x. -5y, -2y, and y are like terms because they all have the variable y to the first power. 7y^(2) and -4y^(2) are like terms because they both have the variable y to the second power.Combine Like Terms with y: Combine the like terms involving y to the first power: -5y - 2y + y. -5y - 2y + y = -5 - 2 + 1 = -6yCombine Like Terms with y^2: Combine the like terms involving y to the second power: 7y^(2) - 4y^(2). 7y^(2) - 4y^(2) = 3y^(2)Rewrite Expression: Now, rewrite the expression with the combined like terms: -2x^(2) - 5x - 6y + 3y^(2)Check for Further Simplifications: Check if there are any more like terms to combine or any other simplifications that can be made. There are no more like terms, and the expression cannot be simplified further.

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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. $\newline$ $-2 x^{2}-5 y+7 y^{2}-5 x-2 y+y-4 y^{2}$

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Q. Click and drag like terms onto each other to simplify fully.

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-2 x^{2}-5 y+7 y^{2}-5 x-2 y+y-4 y^{2}

Identify Like Terms: Identify like terms in the expression. Like terms are terms that have the same variables raised to the same powers. $\newline$ $-2x^{2}$ and $-5x$ are not like terms because they have different powers of $x$ . $\newline$ $-5y$ , $-2y$ , and $y$ are like terms because they all have the variable $y$ to the first power. $\newline$ $7y^{2}$ and $-4y^{2}$ are like terms because they both have the variable $y$ to the second power.
Combine Like Terms with $y$ : Combine the like terms involving $y$ to the first power: $-5y - 2y + y$ . $\newline$ $-5y - 2y + y = -5 - 2 + 1 = -6y$
Combine Like Terms with $y^2$ : Combine the like terms involving $y$ to the second power: $7y^{2} - 4y^{2}$ . $\newline$ $7y^{2} - 4y^{2} = 3y^{2}$
Rewrite Expression: Now, rewrite the expression with the combined like terms: $-2x^{2} - 5x - 6y + 3y^{2}$
Check for Further Simplifications: Check if there are any more like terms to combine or any other simplifications that can be made. $\newline$ There are no more like terms, and the expression cannot be simplified further.