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Question
Factorise:
27m3 − 216n3
Sum
Solution 1
27m3 − 216n3
= 27 (m3 − 8n3)
= 27 (m3 − 2n3)
= 27 (m − 2n) (m2 + m × 2n + 2n2)
= 27 (m − 2n) (m2 + 2mn + 4n2)
27m3 − 216n3 = 27 (m − 2n) (m2 + 2mn + 4n2)
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Solution 2
27m3 − 216n3
= 33m3 − 63n3
= (3m)3 − (6n)3
= (3m − 6n) [(3m2) + (6n)2 + 3m.6n]
= (3m − 6n) (9m2 + 36n2 + 18mn)
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