Question

factorise the following x4-2x2y2+y4​

Answer 1

Answer:

We need to factorise x

4

−2x

2

y

2

+y

4

x

4

−2x

2

y

2

+y

4

=x

4

−x

2

y

2

−x

2

y

2

+y

4

=x

2

(x

2

−y

2

)−y

2

(x

2

−y

2

)

=(x

2

−y

2

)

2

=(x

2

−y

2

)(x

2

−y

2

)

Now by using identity a

2

−b

2

=(a+b)(a−b)

Thus factors are (x−y)(x+y)(x−y)(x+y).

Hope it is helpful.

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