Question

factorise x^2+2+1/x^2-y^2​

Answer 1

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)