First slide
Theory of equations
Question

If x=2+22/3+21/3 then the value of x3 - 6x2 +6x is

Moderate
Solution

x=2+22/3+21/3 x-2=223+213 cubing on both side x-23=223+2133 x3-6x2+12x-8=4+2+3.2(x-2) x3-6x2+12x-8=6+6x-12 x3-6x2+6x=2 

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