Question

factorise : x²+4/x²​

Answer 1

Answer:

x^4+4/x^2 answer

Step-by-step explanation:

x^4+4/x^2

Answer 2

GivEn:

$\\ {\bf\large\purple{ \left( x^2 + \dfrac{4}{x^2} \right) }}$

Solution:

$\\ \hookrightarrow{\bf\large{ x^2 + \left( \dfrac{2}{x} \right) ^2 + \left( 2 \times x \times \dfrac{2}{x} \right) - \left( 2 \times x \times \dfrac{2}{x} \right) }}$

[ Adding and subtracting ${\sf{ \left( 2 \times x \times \dfrac{2}{x} \right) }}$ ]

$\\ \hookrightarrow{\bf\large{ \left( x + \dfrac{2}{x} \right)^2 - 4 }} \\ \\ \hookrightarrow{\bf\large{ \left{ \left( x + \dfrac{2}{x} \right)^2 - 2^2 \right} }} \\ \\ \hookrightarrow{\boxed{\bf\large\green{ \left( x + \dfrac{2}{x} - 2 \right) \left( x + \dfrac{2}{x} + 2 \right) }}}$

Therefore:

${\bf\red{ \left( x + \dfrac{2}{x} - 2 \right) \left( x + \dfrac{2}{x} + 2 \right) }}$ is the factors.

Solved♣️