Question

factorise.... x^4 + y^4 + x^2y^2
plzzz..... fast

Answer 1

x^4 + y^4 +x^2 y^2

If we add and subtract the same term, we will get the original one.... So here add and subtract....... x^2 y^2


x^4 + y^4 +x^2 y^2 + x^2 y^2 - x^2 y^2

=> x^4 + y^4 + 2x^2 y^2 - x^2 y^2

=> (x^2)^2 + (y^2)^2 + 2(x^2) (y^2) - (xy) ^2

=> ( x^2 + y^2)^2 - (xy) ^2

=> ( x^2 + y^2 + xy) (x^2 +y^2 - xy)

Answer 2

Hi,

Please see the attached file!


Thanks