Question

Factorize : 22(y^4 - 5y^3 -24y^2) / 11y(y-8)

Answer 1

Answer: 2y (y + 3)

Step-by-step explanation:

22 (y⁴-5y³-24y²) ÷ 11y (y - 8)

22y² (y² - 5y - 24) ÷ 11y (y - 8)

After cancelling 22y² and 11y:

2y (y² - 5y - 24) ÷ (y - 8)

Middle Term Splitting:

2y (y² + 3y - 8y - 24) ÷ (y - 8)

Regrouping:

2y (y(y + 3) - 8(y + 3)) ÷ (y - 8)

Final equation:

2y * (y - 8) * (y + 3) ÷ (y - 8)

(y - 8) cancels. Final answer:

2y (y + 3)

Hope it helps!