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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. $\newline$ $6 y^{2}+6+4 x-2 x^{3}-7-3 y^{2}-4 x^{3}$

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Roots of integers

Full solution

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

\newline

6 y^{2}+6+4 x-2 x^{3}-7-3 y^{2}-4 x^{3}

Identify Like Terms: Identify like terms in the expression to combine them. $\newline$ Like terms are terms that have the same variables raised to the same powers. $\newline$ In this expression, the like terms are: $\newline$ - $6y^{2}$ and $-3y^{2}$ $\newline$ - $6$ and $-7$ $\newline$ - $4x$ (there are no other terms with just $x$ ) $\newline$ - $-2x^{3}$ and $-4x^{3}$
Combine Like Terms: Combine the like terms. $\newline$ For the y-squared terms: $6y^{2} - 3y^{2} = 3y^{2}$ $\newline$ For the constant terms: $6 - 7 = -1$ $\newline$ The x term remains unchanged: $4x$ $\newline$ For the x-cubed terms: $-2x^{3} - 4x^{3} = -6x^{3}$
Write Simplified Expression: Write the simplified expression by putting together the combined like terms. $\newline$ The simplified expression is: $-6x^{3} + 3y^{2} + 4x - 1$

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