If x=3+√8 find the value of x^2+1/x^2 and x^3-1/x^3

1.	If x=3+√8 find the value of x^2+1/x^2 and x^3-1/x^3
Answer» align="absmiddle" ALT="\large\bf\blue{QUESTION➠}" CLASS="latex-formula" ID="TexFormula1" src="https://tex.z-dn.net/?F=%5Clarge%5Cbf%5Cblue%7BQUESTION%E2%9E%A0%7D" title="\large\bf\blue{QUESTION➠}"> $if \: x = 3 + \sqrt{8} \ \: find \: {x}^{2} + \frac{1}{ {x}^{2} }$ $and \: {x}^{3} + \frac{1}{ {x}^{3} }$ ______________________________ $\large\bf\green{Solution➠}$ (IN *THE* *ATTACHMENT***) ______________________________ $\large\bf\pink{ANSWER➠}$ ${x}^{2} + \frac{1}{ {x}^{2} } = 34$ ${x}^{3} + \frac{1}{ {x}^{3} } = 207$ _____________________________ $\large\bf\orange{Formula\:used➠}$ ${(a+b)}^{2} = {a}^2 +{b}^2+2ab$ ${(a+b)}^{3} = {a}^3 +{b}^3+3ab(a+b)$

Answer»

align="absmiddle" ALT="\large\bf\blue{QUESTION➠}" CLASS="latex-formula" ID="TexFormula1" src="https://tex.z-dn.net/?F=%5Clarge%5Cbf%5Cblue%7BQUESTION%E2%9E%A0%7D" title="\large\bf\blue{QUESTION➠}">

$if \: x = 3 + \sqrt{8} \ \: find \: {x}^{2} + \frac{1}{ {x}^{2} }$