2y³ + y² - 2y - 1 ÷ (y+1)
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Given :-
➪ 2y³ + y² - 2y - 1 ÷ (y + 1)
Solution :-
➪ 2y³ + y² - 2y - 1 ÷ (y + 1)
➭ 2y³ + y² - 2y - 1/(y + 1)
➭ y²(2y + 1) - 1(2y + 1)/(y + 1)
➭ (2y + 1) (y² - 1)/(y + 1)
➭ (2y + 1) {(y)² - (1)²}/(y + 1)
➭ (2y + 1) (y + 1) (y - 1)/(y + 1)
After cancellation, we get
➻ (2y + 1) (y - 1)
∴ The value of 2y³ + y² - 2y - 1 ÷ (y + 1) is (2y + 1) (y - 1)
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