Combine like terms. -4y^(2)-2y^(2)-7y^(3)+x-6x+5x+4y^(2) Answer:

Combine like terms with y^2: Combine like terms involving $ y^2 $. We have $-4y^2$ and $-2y^2$ which are like terms, and also $4y^2$. Combining these gives us: $-4y^2 - 2y^2 + 4y^2 = -6y^2 + 4y^2 = -2y^2$.Combine like terms with y^3: Combine like terms involving $ y^3 $. There is only one term with $ y^3 $, which is $-7y^3$. Since there are no other $ y^3 $ terms, this term remains as is.Combine like terms with x: Combine like terms involving $ x $. We have $ x $, $-6x$, and $5x$. Combining these gives us: $ x - 6x + 5x = -5x + 5x = 0x$, which is simply $0$.Combine all like terms: Combine all the like terms we have found. We have $-2y^2$ from the $ y^2 $ terms, $-7y^3$ from the $ y^3 $ terms, and $0$ from the $ x $ terms. Combining these gives us: $-2y^2 - 7y^3 + 0$.Write final simplified expression: Write the final simplified expression. The final expression, after combining like terms, is: $-7y^3 - 2y^2$.

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Q. Combine like terms.

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-4 y^{2}-2 y^{2}-7 y^{3}+x-6 x+5 x+4 y^{2}

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Answer:

Combine like terms with y^ $2$ : Combine like terms involving $y^2$ . $\newline$ We have $-4y^2$ and $-2y^2$ which are like terms, and also $4y^2$ . Combining these gives us: $\newline$ $-4y^2 - 2y^2 + 4y^2 = -6y^2 + 4y^2 = -2y^2$ .
Combine like terms with y^ $3$ : Combine like terms involving $y^3$ . $\newline$ There is only one term with $y^3$ , which is $-7y^3$ . Since there are no other $y^3$ terms, this term remains as is.
Combine like terms with x: Combine like terms involving $x$ . $\newline$ We have $x$ , $-6x$ , and $5x$ . Combining these gives us: $\newline$ $x - 6x + 5x = -5x + 5x = 0x$ , which is simply $0$ .
Combine all like terms: Combine all the like terms we have found. $\newline$ We have $-2y^2$ from the $y^2$ terms, $-7y^3$ from the $y^3$ terms, and $0$ from the $x$ terms. Combining these gives us: $\newline$ $-2y^2 - 7y^3 + 0$ .
Write final simplified expression: Write the final simplified expression. $\newline$ The final expression, after combining like terms, is: $\newline$ $-7y^3 - 2y^2$ .