factorise x^2+2+1/x^2-y^2
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0
Answer:
Given : x
2
−2+
x
2
1
−y
2
We can further write it as
x
2
−2+
x
2
1
−y
2
=(x
2
−2×x
2
×
x
2
1
+
x
2
1
)−y
2
So we get
x
2
−2+
x
2
1
−y
2
=(x−
x
1
)
2
−y
2
Based on the equation a
2
−b
2
=(a+b)(a−b)
We get,
x
2
−2+
x
2
1
−y
2
=(x−
x
1
+y)(x−
x
1
−y)
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