my brain is about to meltttttttt

[rose gull]

question is: is this injective
so weve got x,y both reel so we wanna prove h(x)=h(y) so from here x^2+x^3=x^2+x^3
i managed to get to (x-y)* (x+y+x^2+x * y+y^2)
wich means x=y or ????

[stark turret]

You can try graphing it to give yourself a hint

[rancid storm]

You would need to show that x+y+x^2+x * y+y^2 = 0 implies x = y too which seems difficult to do

It seems it's only 0 if x = y = 0 otherwise it's positive so the other factor (x-y) would make it always 0 anyway

It should suffice

[nova crest]

you can try solving for x the x+y+x²+xy+y²=0 part using the quadratic formula, just treat y as a number. Then check if the solutions you found are possible solutions in IR for x.|| (hint: the terms under the square roots should be positive)||