Question

(a2+b2)(x2-y2)-2ab(x2+y2)
solve and factorise ​

Answer 1

Step-by-step explanation:

Given : x

2

+2xy+y

2

−a

2

+2ab−b

2

Considering x

2

+2xy+y

2

−a

2

+2ab−b

2

We can further write it as

=(x

2

+2xy+y

2

)−(a

2

−2ab+b

2

)

So we get

=(x+y)

2

−(a−b)

2

Based on the equation a

2

−b

2

=(a+b)(a−b)

We get

=[(x+y)+(a−b)][(x+y)−(a−b)]

x

2

+2xy+y

2

−a

2

+2ab−b

2

=(a+y+a−b)(a+y−a+b)