Practicing Success
If a + b + c = 7 and $a^3 + b^3 + c^3 -3abc = 301,$ then ab + bc + ca = ? |
-4 -2 3 2 |
2 |
If a + b + c = 7 $a^3 + b^3 + c^3 -3abc = 301,$ then ab + bc + ca = ? If the number of equations are less than the number of variables then we can put the extra variables according to our choice = So here two equations given and three variables are present so put c = 0 If a + b = 7 $a^3 + b^3 = 301,$ then ab = ? We know that, (a + b)3 = a3 + b3 + 3ab(a+b) (7)3 = 301+ 3ab(7) 343 = 301 + 21ab 21ab = 42 ab = 2 |