Question

factorise x²+1/x²+2​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

$\large\boxed{\sf{{(x + \frac{1}{x}) }^{2} }}$

Step-by-step explanation:

To factorise the given term,

${x}^{2} + \frac{1}{ {x}^{2} } + 2 \\ \\ = {x}^{2} + \frac{1}{ {x}^{2} } + 2 \times x \times \frac{1}{x} \\ \\ = {(x)}^{2} + 2(x)( \frac{1}{x} ) + {( \frac{1}{x} )}^{2} \\ \\ = {(x + \frac{1}{x}) }^{2}$

concept Map :-

• ${a}^{2} + 2ab + {b}^{2} = {(a + b)}^{2}$