(x+y)4 = (x2+2xy+y2)2 = x4+4x3y+6x2y2+4xy3+y4
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Oh, dude, you're hitting me with some math lingo! So, when you see X to the power of 2 plus Y to the power of 2, you're basically looking at X squared plus Y squared. It's like those little numbers are getting all squared up and ready to party together in a math equation.
It is the same. The equation "x + y" is the exact same as "x + y." There is no difference.
xy + x + y + 1 = (x + 1)(y + 1).