Question

3. Factorise x^4+x^2y^2+y^4​

Answer 1

Answer:

x4 + x2y2 + y4 = (x4 + 2x2y2 + y4) - x2y2 (note that one term is added and subtracted)

= (x2 + y2)2 – (xy)2, , by (4)

= [(x2 + y2) + xy] [(x2 + y2) – xy] , by (1)

= (x2 + xy + y2)(x2 –xy + y2)

Step-by-step explanation:

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Answer 2

Answer:

Factorization of x4 + x2y2 + y4. What you should know before… a2 – b2 = (a + b) (a – b) (1). a3 + b3 = (a + b) (a2 - ab + b2) (2). a3 – b3 = (a ...

Step-by-step explanation:

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