Question

x(x ³- y³) + 3 xcy (x-y)​

Answer 1

Answer:

=3cx2y−3cxy2+x4−xy3

hope it helps

Answer 2

Question

x(x ³- y³) + 3 xcy (x-y)

$\large{ \color{magenta}{ \fcolorbox{cyan}{black}{ \fbox{ \textsf{ \textbf{SOLOUTION }}}}}}$

Consider, (x+y)3−(x3+y3)=(x+y)3−[(x+y)(x2−xy+y2)]

                                                            =(x+y)[(x+y)2−(x2−xy+y2)]

                                                            =(x+y)[(x2+2xy+y2)−(x2−xy+y2)]

                                                            =(x+y)(3xy)

Clearly, 3xy is factor of (x+y)3−(x3+y3)

$\huge \colorbox{red}{=3xy}$