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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−6y2+1−4−4x3−x3−x3+y3 -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−6y2+1−4−4x3−x3−x3+y3 -6 y^{2}+1-4-4 x^{3}-x^{3}-x^{3}+y^{3}
  1. 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 −6y2+1−4−4x3−x3−x3+y3-6y^{2}+1-4-4x^{3}-x^{3}-x^{3}+y^{3}.
  2. Combine Constant Terms: First, let's combine the constant terms: 11 and −4-4. \newline1−4=−31 - 4 = -3
  3. Combine x Terms: Next, let's combine the terms with x raised to the third power: −4x3-4x^{3}, −x3-x^{3}, and −x3-x^{3}.\newline−4x3−x3−x3=−6x3-4x^{3} - x^{3} - x^{3} = -6x^{3}
  4. Combine yy Terms: Now, we look at the terms with yy. We have −6y2-6y^{2} and y3y^{3}. These are not like terms because the variables are raised to different powers, so they cannot be combined.
  5. Final Simplified Expression: The simplified expression is now −6y2−3−6x3+y3-6y^{2} - 3 - 6x^{3} + y^{3}.
  6. Count Number of Terms: We count the number of terms in the simplified expression. There are four terms: −6y2-6y^{2}, −3-3, −6x3-6x^{3}, and y3y^{3}.

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