𝑥^2 + 1/𝑥^2 − 3
𝑥^2 + 1/𝑥^2 − 3
We can further write it as
= 𝑥^2 +1/𝑥^2 − 2 − 1
So we get,
= (𝑥^2 +1/𝑥^2 − 2) − 1
It can also be written as
= (𝑥^2 + 1/𝑥^2 − 2 × 𝑥^2 × 1/𝑥^2) − 1^2
= (𝑥 − 1/𝑥)^2− 1^2
Based on the equation 𝑎^2 − 𝑏^2 = (𝑎 + 𝑏)(𝑎 − 𝑏)
We get,
= (𝑥 −1/𝑥− 1) (𝑥 −1/𝑥+ 1)
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