HEY CAN U TELL ME ACUBE + BCUBE - ZCUBE
IS THERE ANY FORMULA ????
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Answered by
2
Step-by-step explanation:
You can solve this question with the help of algebra-formulas.
a^3 + b^3 + c^3 - 3abc = (a+b+c) (a^2 + b^2 + c^2 - ab - bc -
ac).
= (a+b+c) { (a^2+b^2+c^2 + 2ab+2bc+2ac) - 3(ab+bc+ac) }
= (a+b+c) { (a+b+c)^2 - 3(ab+bc+ac) }
= (a+b+c)^2 - 3(ab+bc+ac)(a+b+c)
= (a+b+c)^2 - 3a^2b - 3ab^2 - 3abc - 3abc - 3b^2c - 3bc^2 - 3a^2c - 3abc - 3ac^2
= (a+b+c)^2 - 3ab(a+b) - 3bc(b+c) - 3ca(c+a) - 9abc
therefore,
a^3 + b^3 + c^3 = (a+b+c)^2 - 3ab(a+b) - 3bc(b+c) - 3ca(c+a)
- 6abc.
at last replace c with ( -c)
HOPE IT HELPS
Answered by
1
Step-by-step explanation:
here u can use identity acube + bcube + c cube = ( a+ b + c) ( a^2+ b^2 + c^2 - ab- bc- ca)
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