Question

find the sum. (3y² + y³ - 5) + (4y² - 4y + 2y³ + 8) options: 4y² + 3y³ - y + 3; -y⁴ + 2y³ - y - 4; 3y³ + 7y² - 4y + 3; 4y³ + 3y² - 3y + 1

Explanation:

Step1: Remove parentheses

$(3y^2 + y^3 - 5) + (4y^2 - 4y + 2y^3 + 8) = 3y^2 + y^3 - 5 + 4y^2 - 4y + 2y^3 + 8$

Step2: Group like terms

$= (y^3 + 2y^3) + (3y^2 + 4y^2) - 4y + (-5 + 8)$

Step3: Combine like terms

$= 3y^3 + 7y^2 - 4y + 3$

Answer:

$3y^3 + 7y^2 - 4y + 3$ (matches the third option)