Factorise 4 y cube + 4 y square - y - 1
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Solution :
∴ 4y³ + 4y² - y - 1
= 4y² (y + 1) - 1 (y + 1)
= (y + 1) (4y² - 1)
= (y + 1) {(2y)² - 1²}
= (y + 1) (2y + 1) (2y - 1) ,
which is the required factorization.
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