Math, asked by fakeperson749, 10 months ago

HEY CAN U TELL ME ACUBE + BCUBE - ZCUBE
IS THERE ANY FORMULA ????

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Answers

Answered by Mayank9313100903
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 hardworking10
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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