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

Identify and Combine Like Terms: Identify and combine like terms that have the same variable raised to the same power. -7x^(3) and 4x^(3) are like terms. 6x^(2), x^(2), and -7x^(2) are like terms. -7y^(3) and 7y^(3) are like terms. Combining these we get: (-7x^(3) + 4x^(3)) + (6x^(2) + x^(2) - 7x^(2)) + (-7y^(3) + 7y^(3))Perform Addition and Subtraction: Perform the addition and subtraction for the like terms. -7x^(3) + 4x^(3) = -3x^(3) 6x^(2) + x^(2) - 7x^(2) = 0x^(2) -7y^(3) + 7y^(3) = 0y^(3) Now we add the results: -3x^(3) + 0x^(2) + 0y^(3)Simplify the Expression: Simplify the expression by removing any terms that are zero. 0x^(2) and 0y^(3) do not contribute to the expression and can be omitted. The simplified expression is: -3x^(3)

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Q. Combine like terms.

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

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Answer:

Identify and Combine Like Terms: Identify and combine like terms that have the same variable raised to the same power. $\newline$ $-7x^{3}$ and $4x^{3}$ are like terms. $\newline$ $6x^{2}$ , $x^{2}$ , and $-7x^{2}$ are like terms. $\newline$ $-7y^{3}$ and $7y^{3}$ are like terms. $\newline$ Combining these we get: $\newline$ $(-7x^{3} + 4x^{3}) + (6x^{2} + x^{2} - 7x^{2}) + (-7y^{3} + 7y^{3})$
Perform Addition and Subtraction: Perform the addition and subtraction for the like terms. $\newline$ $-7x^{3} + 4x^{3} = -3x^{3}$ $\newline$ $6x^{2} + x^{2} - 7x^{2} = 0x^{2}$ $\newline$ $-7y^{3} + 7y^{3} = 0y^{3}$ $\newline$ Now we add the results: $\newline$ $-3x^{3} + 0x^{2} + 0y^{3}$
Simplify the Expression: Simplify the expression by removing any terms that are zero. $0x^{2}$ and $0y^{3}$ do not contribute to the expression and can be omitted. The simplified expression is: $-3x^{3}$