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

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

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

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Product property of logarithms

Full solution

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

\newline

-5 y^{2}+1+3 y^{2}-5 x+3 y^{2}-5 y^{3}+7 y^{3}

Combine like terms squares of y: Identify and combine the like terms that are the squares of y. $\newline$ We have $-5y^2$ , $3y^2$ , and $3y^2$ . Combining these gives us: $\newline$ $-5y^2 + 3y^2 + 3y^2 = (-5 + 3 + 3)y^2 = 1y^2$
Combine like terms cubes of y: Identify and combine the like terms that are the cubes of y. $\newline$ We have $-5y^3$ and $7y^3$ . Combining these gives us: $\newline$ $-5y^3 + 7y^3 = (-5 + 7)y^3 = 2y^3$
Combine constant terms: Identify and combine the constant terms. $\newline$ We only have one constant term, which is $1$ . So, it remains as it is.
Combine terms with x: Identify and combine the terms with x. $\newline$ We only have one term with x, which is $-5x$ . So, it remains as it is.
Write simplified expression: Write down the simplified expression with all the combined like terms. $\newline$ The simplified expression is: $\newline$ $y^2 - 5x + 2y^3 + 1$

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