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

-1-4y^(3)-2x^(3)+5x+2-7-x^(3)

Click and drag like terms onto each other to simplify fully.\newline14y32x3+5x+27x3 -1-4 y^{3}-2 x^{3}+5 x+2-7-x^{3}

Full solution

Q. Click and drag like terms onto each other to simplify fully.\newline14y32x3+5x+27x3 -1-4 y^{3}-2 x^{3}+5 x+2-7-x^{3}
  1. Identify Like Terms: Identify like terms in the expression 14y32x3+5x+27x3-1-4y^{3}-2x^{3}+5x+2-7-x^{3}. Like terms are terms that have the same variables raised to the same powers. Here, 2x3-2x^{3} and x3-x^{3} are like terms, 5x5x is a term on its own, and 1-1, 22, and 7-7 are like terms because they are constants.
  2. Combine Constant Terms: Combine the constant terms 1-1, 22, and 7-7.1+27=0+(7)=6-1 + 2 - 7 = 0 + (-7) = -6
  3. Combine x3x^{3} Terms: Combine the like terms with x3x^{3}, which are 2x3-2x^{3} and x3-x^{3}.\newline2x3x3=3x3-2x^{3} - x^{3} = -3x^{3}
  4. Remaining Terms: There are no like terms with 4y34y^{3}, so it remains as is.
  5. Write Simplified Expression: There are no like terms with 5x5x, so it remains as is.
  6. Write Simplified Expression: There are no like terms with 5x5x, so it remains as is.Write down the simplified expression by combining the results from the previous steps.\newlineThe simplified expression is 63x34y3+5x-6 - 3x^{3} - 4y^{3} + 5x.

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