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Factorisation by Regrouping Terms

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Question

Find the factors of the following expressions:

(10) 3y³ − 6y² + 4y − 8

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Solution

3y³ − 6y² + 4y − 8
We can factorise this expression as:
3y³ − 6y² + 4y − 8
= (3y³ − 6y²) + (4y − 8)
= 3y² (y − 2) + 4 (y − 2)
= (y − 2) (3y² + 4)

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Factorisation by Regrouping Terms

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