Question

factorise x²–2+1/x²–y²​

Answer 1

Step-by-step explanation:

Given : x2−2+x21−y2

We can further write it as

x2−2+x21−y2=(x2−2×x2×x21+x21)−y2

So we get

x2−2+x21−y2=(x−x1)2−y2

Based on the equation a2−b2=(a+b)(a−b)

We get,

x2−2+x21−y2=(x−x1+y)(xGiven : x2−2+x21−y2

We can further write it as

x2−2+x21−y2=(x2−2×x2×x21+x21)−y2

Answer 2

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)