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

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

Click and drag like terms onto each other to simplify fully.\newline3+22x3+7x22y2+7x35 -3+2-2 x^{3}+7 x^{2}-2 y^{2}+7 x^{3}-5

Full solution

Q. Click and drag like terms onto each other to simplify fully.\newline3+22x3+7x22y2+7x35 -3+2-2 x^{3}+7 x^{2}-2 y^{2}+7 x^{3}-5
  1. Identify Like Terms: First, identify like terms in the expression. Like terms are terms that have the same variables raised to the same powers.\newlineIn the given expression, 2x3-2x^{3} and 7x37x^{3} are like terms because they both have the variable xx raised to the power of 33.\newlineSimilarly, 7x27x^{2} is a term on its own because there are no other x2x^{2} terms.\newlineThe 2y2-2y^{2} term is also on its own because there are no other y2y^{2} terms.\newlineThe constants 3-3, 22, and 7x37x^{3}00 can be combined because they are like terms as well.
  2. Combine x3x^{3} Terms: Now, combine the like terms starting with the x3x^{3} terms.\newline2x3+7x3=5x3-2x^{3} + 7x^{3} = 5x^{3}
  3. Combine Constant Terms: Next, combine the constant terms. 3+25=6-3 + 2 - 5 = -6
  4. Write Simplified Expression: Since there are no other like terms to combine, we can now write down the simplified expression.\newlineThe simplified expression is 5x3+7x22y265x^{3} + 7x^{2} - 2y^{2} - 6.

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