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

-6-1+1-3y^(2)-5x^(3)-y^(2)-5x^(3)

Click and drag like terms onto each other to simplify fully.\newline61+13y25x3y25x3 -6-1+1-3 y^{2}-5 x^{3}-y^{2}-5 x^{3}

Full solution

Q. Click and drag like terms onto each other to simplify fully.\newline61+13y25x3y25x3 -6-1+1-3 y^{2}-5 x^{3}-y^{2}-5 x^{3}
  1. Combine Like Terms: First, we will combine like terms. Like terms are terms that have the same variables raised to the same powers. In this expression, we have constants (6-6, 1-1, +1+1), terms with y2y^2 (3y2-3y^2, y2-y^2), and terms with x3x^3 (5x3-5x^3, 5x3-5x^3).
  2. Combine Constants: Now, let's combine the constants: 61+1-6 - 1 + 1. This simplifies to 6-6 since 1-1 and +1+1 cancel each other out.
  3. Combine y2y^2 Terms: Next, we combine the terms with y2y^2: 3y2y2-3y^2 - y^2. This simplifies to 4y2-4y^2 because we add the coefficients of y2y^2 together.
  4. Combine x3x^3 Terms: Then, we combine the terms with x3x^3: 5x35x3-5x^3 - 5x^3. This simplifies to 10x3-10x^3 because we add the coefficients of x3x^3 together.
  5. Write Simplified Expression: Finally, we write down the simplified expression by combining all the simplified terms: 64y210x3-6 - 4y^2 - 10x^3.

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