QuestionAugust 25, 2025

13) Simplify the expression. (y^2)/(3)+4y^2 (4)/(3)y^2 (5y^2)/(3) 4(1)/(3)y^2 (4)/(3)

13) Simplify the expression. (y^2)/(3)+4y^2 (4)/(3)y^2 (5y^2)/(3) 4(1)/(3)y^2 (4)/(3)
13) Simplify the expression. (y^2)/(3)+4y^2 (4)/(3)y^2 (5y^2)/(3) 4(1)/(3)y^2 (4)/(3)

Solution
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Answer

\frac{13y^{2}}{3} Explanation 1. Combine like terms The expression \frac{y^{2}}{3} + 4y^{2} can be combined by adding the coefficients of y^2. Convert 4y^2 to \frac{12y^2}{3}. 2. Add fractions Add \frac{y^{2}}{3} and \frac{12y^{2}}{3}: \frac{y^{2}}{3} + \frac{12y^{2}}{3} = \frac{13y^{2}}{3}.

Explanation

1. Combine like terms<br /> The expression $\frac{y^{2}}{3} + 4y^{2}$ can be combined by adding the coefficients of $y^2$. Convert $4y^2$ to $\frac{12y^2}{3}$.<br />2. Add fractions<br /> Add $\frac{y^{2}}{3}$ and $\frac{12y^{2}}{3}$: $\frac{y^{2}}{3} + \frac{12y^{2}}{3} = \frac{13y^{2}}{3}$.
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