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

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

Click and drag like terms onto each other to simplify fully. $\newline$ $4 y^{2}+5-3 y^{3}+3 y^{3}+2 y^{2}-7 y^{2}-3$

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Paying for college

Full solution

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

\newline

4 y^{2}+5-3 y^{3}+3 y^{3}+2 y^{2}-7 y^{2}-3

Identify Like Terms: Identify like terms in the expression $4y^{2}+5-3y^{3}+3y^{3}+2y^{2}-7y^{2}-3$ . Like terms are terms that have the same variable raised to the same power. Here, the like terms are: $\newline$ - $4y^{2}$ , $2y^{2}$ , and $-7y^{2}$ because they all have $y$ raised to the power of $2$ . $\newline$ - $-3y^{3}$ and $3y^{3}$ because they both have $y$ raised to the power of $3$ . $\newline$ - $4y^{2}$ $0$ and $4y^{2}$ $1$ because they are both constant terms without any variables.
Combine Like Terms with $y^2$ : Combine the like terms that have $y$ raised to the power of $2$ . $4y^{2} + 2y^{2} - 7y^{2} = (4 + 2 - 7)y^{2} = -1y^{2}$
Combine Like Terms with $y^3$ : Combine the like terms that have $y$ raised to the power of $3$ . $\newline$ $-3y^{3} + 3y^{3} = (-3 + 3)y^{3} = 0y^{3}$ $\newline$ Since $0$ times any number is $0$ , the $y^{3}$ terms cancel each other out.
Combine Constant Terms: Combine the constant terms. $5 - 3 = 2$
Write Simplified Expression: Write down the simplified expression with the combined like terms. $\newline$ The $y^{3}$ terms have canceled out, so we are left with $-1y^{2}$ and the constant term $2$ . $\newline$ The simplified expression is $-1y^{2} + 2$ .

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