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If x^2+1/(x^2)=98 , find the value of x^...

If `x^2+1/(x^2)=98 ,` find the value of `x^3+1//x^3`

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x² + (1/x²)= 98
'[x + (1/x)]²= x² + (1/x²)+2
98 +2 = 100
Therefore, x+ (1/x)=10
[x + (1/x)]^3= x^3+ (1/x)^3 +3(x+(1/x))
x^3+ (1/x)^3 +3(x+(1/x))=1000
x^3+ (1/x)^3
= 1000-3(10) = 970'``
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RD SHARMA-ALGEBRAIC IDENTITIES-All Questions
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  2. Simplify : (a+b+c)^2

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  3. If x^2+1/(x^2)=98 , find the value of x^3+1//x^3

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  9. If x^2+1/(x^2)=83. find the value of x^3-1//x^3

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