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

6y^(2)+6+4x-2x^(3)-7-3y^(2)-4x^(3)

Click and drag like terms onto each other to simplify fully.\newline6y2+6+4x2x373y24x3 6 y^{2}+6+4 x-2 x^{3}-7-3 y^{2}-4 x^{3}

Full solution

Q. Click and drag like terms onto each other to simplify fully.\newline6y2+6+4x2x373y24x3 6 y^{2}+6+4 x-2 x^{3}-7-3 y^{2}-4 x^{3}
  1. Identify Like Terms: Identify like terms in the expression to combine them.\newlineLike terms are terms that have the same variables raised to the same powers.\newlineIn this expression, the like terms are:\newline- 6y26y^{2} and 3y2-3y^{2}\newline- 66 and 7-7\newline- 4x4x (there are no other terms with just xx)\newline- 2x3-2x^{3} and 4x3-4x^{3}
  2. Combine Like Terms: Combine the like terms.\newlineFor the y-squared terms: 6y23y2=3y26y^{2} - 3y^{2} = 3y^{2}\newlineFor the constant terms: 67=16 - 7 = -1\newlineThe x term remains unchanged: 4x4x\newlineFor the x-cubed terms: 2x34x3=6x3-2x^{3} - 4x^{3} = -6x^{3}
  3. Write Simplified Expression: Write the simplified expression by putting together the combined like terms.\newlineThe simplified expression is: 6x3+3y2+4x1-6x^{3} + 3y^{2} + 4x - 1

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