Practicing Success
What is the value of (a + b + c) {( a- b)2 + ( b - c)2 + (c - a)2} ? |
2a3 + 2b3 +2c3 2a3 + 2b3 +2c3 - 6abc 3abc 6abc |
2a3 + 2b3 +2c3 - 6abc |
(a + b + c) {( a- b)2 + ( b - c)2 + (c - a)2} = ? We know that , a3 + b3 + c3 - 3abc = \(\frac{1}{2}\)[(a + b + c) {( a- b)2 + ( b - c)2 + (c - a)2}] 2a3 + 2b3 +2c3 - 6abc = (a + b + c) {( a- b)2 + ( b - c)2 + (c - a)2} |