𝑥^4 +4/𝑥^4
𝑥^4 +4/𝑥^4
We can further write it as
= 𝑥^4 +4/𝑥^4 + 4 – 4
It can also be written as
= (𝑥^2)^2 + (2/𝑥^2)^2+ 2 × 𝑥^2 × (2/𝑥^2) − 2^2
= [(𝑥^2)^2 + (2/𝑥^2)^2+ 2 × 𝑥^2 × (2/𝑥^2)] − 2^2
On further simplification
= (𝑥^2 +2/𝑥^2)^2 − 2^2
Based on the equation 𝑎^2 − 𝑏^2 = (𝑎 + 𝑏)(𝑎 − 𝑏)
We get,
= (𝑥^2 +2/𝑥^2 + 2) (𝑥^2 +2/𝑥^2 − 2)
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