Question

factorise the following x^4-2x^2y^2+y^4​

Answer 1

Answer:

[(x^2) - (y^2)]^2  

Step-by-step explanation:

x^4-2x^2y^2+y^4​      

=> (x^2)^2 + (y^2)^2 - 2(x^2) * (y^2)                                                   [ Written in the form of A^2 + B^2 - 2AB ]

=> [(x^2) - (y^2)]^2   [Since  (A - B)^2 = A^2 + B^2 - 2AB  ]

Hope it helps :)

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