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if a+b+c=5 and ab+bc+ca=10 then prove that a³+b³+c³ -3abc=-25 |
a3 + b3 + c3 - 3abc = (a+ b + c)3 - 3(a+ b+ c) (ab + bc + ca) Given that a + b + c = 5 and ab + bc + ca = 10. Substitute the values in the above equation and solve. |