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Question
Factorise the following:
l3 – 8m3 – 27n3 – 18lmn
Sum
Solution
l3 – 8m3 – 27n3 – 18lmn
= l3 + (– 2m)3 + (– 3n)3 – 3(l)(– 2m)(– 3n)
= (l – 2m – 3n) [l2 + (– 2m)2 + (– 3n)2 – I(– 2m)] – (– 2m)(– 3n) – (– 3n)(l)]
= (l – 2m – 3n) [l2 + 4m2 + 9n2 + 2lm – 6mn + 3ln]
shaalaa.com
Factorisation using Identity a3 + b3 + c3 - 3abc = (a + b + c)(a2 + b2 + c2 - ab - bc - ca)
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