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Question
Factorise:
y3 − 27
Sum
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Solution
y3 − 27
y3 − 33
We know that,
a3 − b3 = (a − b) (a2 + ab + b2)
y3 − 33 = (y − 3) (y2 + y × 3 + 32)
= (y − 3) (y2 + 3y + 9)
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