Question

The equation x³ + x²y - xy² = y³ represents
a) three real straight lines
b) lines in which two of them are perpendicular to each other
c) lines in which two of them are coincident
d) None of these
Can anyone EXPLAIN this answer please?? I need it now
Whoever answers correctly, I'll follow you ​

Answer 1

Answer:

option a,b and c

Step-by-step explanation:Given:-$x^{3} +x^{2} y-xy^{2} -y^{3} =0\\x^{2} (x+y)-y^{2} (x+y)=0\\(x+y)(x^{2} -y^{2} )=0\\(x+y)(x+y)(x-y)=0$

so we get 2 coincident lines and a perpendicular line and 3 real line.Your questions are good.

Hope this helps.