Question

विस्तार करा.

${\displaystyle {(\text{a}-\frac{1}{\text{a}})}^2}$

Answer 1

(a + b)² = a² + 2ab + b² आणि (a − b)² = a² − 2ab + b².

${\displaystyle {(\text{a}-\frac{1}{\text{a}})}^2}$

= ${\displaystyle {\left(\text{a}\right)}^2-2\times \left(\text{a}\right)\times \left(\frac{1}{\text{a}}\right)+{\left(\frac{1}{\text{a}}\right)}^2}$

= ${\displaystyle {\text{a}}^2-2+\frac{1}{{\text{a}}^2}}$