Not so simple

Algebra Level 3

x+y x^2+y^2-2xy x-y 2x^2+y^2-2xy 2x^2+y^2+2xy

Harshi Singh by Harshi Singh , 20, India

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2 solutions

Prince Stalwart
Apr 9, 2015

We have, 1st Expression= (2x^2 + y^2)^2 - (2xy)^2 

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

2nd Expression= (2x^3 - 2y^3) - (y^2)(x - y) 

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

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

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

Hence, G.C.D = (2x^2 + 2xy + y^2)

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Abhishek Sahoo
May 30, 2015

I am a fan of yours because as u I also love gold medals

0 Helpful 0 Interesting 0 Brilliant 0 Confused

@abhishek sahoo oh from where i have got gold medals????? except nso i have no gold meadals and who told you that i like gold medals

Harshi Singh - 6 years ago

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told by mohit gupta that u got 4 gold medals and by the way if u don't got 4 gold medals even then i'll remain fan of yours , seeing your stats in brilliant was amazing mind blowing stats .................. i m not making fun of u but its truth!!!!!!!! and do u study in csquare?

abhishek sahoo - 6 years ago

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yes i m harshita rathore and thanks for your comments but if you are really my fan then plz ask mohit why he is so jealous of me as he is spreading rumours that i have 4 gold medals

Harshi Singh - 6 years ago

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