QuestionDecember 13, 2025

Perform the operation Write the result in standard form. (-3y+y^2-8+5y^3)+(7y^2+4y-2y^3) Enter the correct expressions or values in the boxes to complete the solution process. (-3y+y^2-8+5y^3)+(7y^2+4y-2y^3) The given expression (square -8)+(square +4y) Enter the two polynomials in standard form. (square -2y^3)+(square +7y^2)+(square +4y)-8 Combine like terms. (square -2)y^3+(square +7)y^2+(square +4)y-8 Apply the Distributive Property. square Enter the simplified result in standard form.

Perform the operation Write the result in standard form. (-3y+y^2-8+5y^3)+(7y^2+4y-2y^3) Enter the correct expressions or values in the boxes to complete the solution process. (-3y+y^2-8+5y^3)+(7y^2+4y-2y^3) The given expression (square -8)+(square +4y) Enter the two polynomials in standard form. (square -2y^3)+(square +7y^2)+(square +4y)-8 Combine like terms. (square -2)y^3+(square +7)y^2+(square +4)y-8 Apply the Distributive Property. square Enter the simplified result in standard form.
Perform the operation Write the result in standard form. (-3y+y^2-8+5y^3)+(7y^2+4y-2y^3) Enter the correct expressions or values in the boxes to complete the solution process. (-3y+y^2-8+5y^3)+(7y^2+4y-2y^3) The given expression (square -8)+(square +4y) Enter the two polynomials in standard form. (square -2y^3)+(square +7y^2)+(square +4y)-8 Combine like terms. (square -2)y^3+(square +7)y^2+(square +4)y-8 Apply the Distributive Property. square Enter the simplified result in standard form.

Solution
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Answer

3y^3 + 8y^2 + y - 8 Explanation 1. Arrange polynomials in standard form Write each polynomial in descending powers of y: 5y^3 + y^2 - 3y - 8 and -2y^3 + 7y^2 + 4y. 2. Combine like terms Add coefficients for each power: - y^3: 5 - 2 = 3 - y^2: 1 + 7 = 8 - y: -3 + 4 = 1 - Constant: -8 3. Write the simplified result Combine to get 3y^3 + 8y^2 + y - 8.

Explanation

1. Arrange polynomials in standard form <br /> Write each polynomial in descending powers of $y$: $5y^3 + y^2 - 3y - 8$ and $-2y^3 + 7y^2 + 4y$.<br />2. Combine like terms <br /> Add coefficients for each power: <br />- $y^3$: $5 - 2 = 3$ <br />- $y^2$: $1 + 7 = 8$ <br />- $y$: $-3 + 4 = 1$ <br />- Constant: $-8$<br />3. Write the simplified result <br /> Combine to get $3y^3 + 8y^2 + y - 8$.
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