factorise. (a+b) whole cube + ( b+c)whole cube + ( c+a) whole cube - 3(a+b)(b+a)(c+a)
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we know the formula
a3+b3 +c3 -3abc
=( a+b+c) (a2+ b2+ c2 -ab-bc-ca)
so by using this formula,
= (a+b+b+c+c+a)
( (a+b )2+(b+c)2+(c+a)2-(a+b)(b+c)-(b+c)(c+a)-(c+a)(a+b) )
a3+b3 +c3 -3abc
=( a+b+c) (a2+ b2+ c2 -ab-bc-ca)
so by using this formula,
= (a+b+b+c+c+a)
( (a+b )2+(b+c)2+(c+a)2-(a+b)(b+c)-(b+c)(c+a)-(c+a)(a+b) )
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Answered by
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