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Q60.If x= 1+ (cube root 5) + (cube root 25), find value of (x cube)-3(x square)-12x+6.

Girish Verma , 8 Years ago
Grade 11
anser 2 Answers
Riddhish Bhalodia

Last Activity: 8 Years ago

let (cube root 5) = a
x = 1 + a + a^2
putting in
x^3 -3x^2 -12x + 6 we get
an expression in a then substi tute and get teh answer
maybe can try putting x = (a^3-1)/(a-1) to make calculations simpler

mycroft holmes

Last Activity: 8 Years ago

Here we have used the algebraic identity a3+b3+c3 = 3abc when a+b+c = 0. So, the required answer is 22

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