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coolstick
Looking at Pascal's triangle (not my picture!), the pattern is we start with x^6*1+x^5*y*6 etc. while subtracting 1 exponent from x and adding 1 to y every time, ending up with x^6+6x^5y+15x^4y^2+20x^3y^3+15y^4x^2+6y^5x+y^6
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