Click and drag like terms onto each other to simplify fully. -6y^(2)+1-4-4x^(3)-x^(3)-x^(3)+y^(3)

Identify Like Terms: We need to combine like terms to simplify the expression. Like terms are terms that have the same variables raised to the same powers. The given expression is -6y^(2)+1-4-4x^(3)-x^(3)-x^(3)+y^(3).Combine Constant Terms: First, let's combine the constant terms: 1 and -4. 1 - 4 = -3Combine x Terms: Next, let's combine the terms with x raised to the third power: -4x^(3), -x^(3), and -x^(3). -4x^(3) - x^(3) - x^(3) = -6x^(3)Combine y Terms: Now, we look at the terms with y. We have -6y^(2) and y^(3). These are not like terms because the variables are raised to different powers, so they cannot be combined.Final Simplified Expression: The simplified expression is now -6y^(2) - 3 - 6x^(3) + y^(3).Count Number of Terms: We count the number of terms in the simplified expression. There are four terms: -6y^(2), -3, -6x^(3), and y^(3).

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

-6y^(2)+1-4-4x^(3)-x^(3)-x^(3)+y^(3)

Click and drag like terms onto each other to simplify fully. $\newline$ $-6 y^{2}+1-4-4 x^{3}-x^{3}-x^{3}+y^{3}$

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

\newline

-6 y^{2}+1-4-4 x^{3}-x^{3}-x^{3}+y^{3}

Identify Like Terms: We need to combine like terms to simplify the expression. Like terms are terms that have the same variables raised to the same powers. The given expression is $-6y^{2}+1-4-4x^{3}-x^{3}-x^{3}+y^{3}$ .
Combine Constant Terms: First, let's combine the constant terms: $1$ and $-4$ . $\newline$ $1 - 4 = -3$
Combine x Terms: Next, let's combine the terms with x raised to the third power: $-4x^{3}$ , $-x^{3}$ , and $-x^{3}$ . $\newline$ $-4x^{3} - x^{3} - x^{3} = -6x^{3}$
Combine $y$ Terms: Now, we look at the terms with $y$ . We have $-6y^{2}$ and $y^{3}$ . These are not like terms because the variables are raised to different powers, so they cannot be combined.
Final Simplified Expression: The simplified expression is now $-6y^{2} - 3 - 6x^{3} + y^{3}$ .
Count Number of Terms: We count the number of terms in the simplified expression. There are four terms: $-6y^{2}$ , $-3$ , $-6x^{3}$ , and $y^{3}$ .