Math, asked by arkyahalder756, 6 months ago

x²+1/x²+2 factorise this​

Answers

Answered by DevyaniKhushi
2

 \huge =  >  {x}^{2}  +  \frac{1}{ {x}^{2} }  + 2 \\  \\ =  >   {(x)}^{2}  +  { \bigg(  \frac{1}{x} \bigg)}^{2} + 2\bigg(x\bigg) \bigg( \frac{1}{x} \bigg) \\  \\   =  >  {\bigg(x +  \frac{1}{x} \bigg)}^{2} \\  \\  =  > \bigg(x +  \frac{1}{x} \bigg)\bigg(x +  \frac{1}{x} \bigg)

Answered by nirmalaravi4344
1

Answer:

X² + 1/X² + 2

Step-by-step explanation:

X²+1/X²+2

(a+b)² = a² + 2ab + b²

= (X)² + 2 x X x 1/X + (1/X)²

=(X + 1/X)(X + 1/X)

=(X + 1/X)²

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