Solve X8y8-x7y6+x6y5+x5y5

Question

X8y8-x7y6+x6y5+x5y5

Answer 1

There is no equation to solve (no equals sign)—this is just an expression that can be factorised:

x⁵y⁵(x³y³-x²y+x+1)=x⁵y⁵(x²y(xy²-1)+x+1).

If the expression = a, a constant≠0 then neither intercepts exists.

If the expression = 0 then x=0 for all values of y and y=0 for all values of x. One solution is therefore x=y=0.