Question

Q9 please help me solve this question

Answer 1

Hi friend,


(x+y)^3+(y+z)^3+(z+x)^3 − 3(x+y)(y+z)(z+x) 

= (x³+3x²y+3xy²+y³) + (y³+3y²z+3yz²+z³) + (x³+3x²z+3xz²+z³) − 3(x+y)(xy+xz+yz+z²) 

= 2(x³+y³+z³) + 3(x²y+xy²+y²z+yz²+x²z+xz²) − 3(x²y+x²z+xyz+xz²+xy²+xyz+y²z+yz²) 

= 2(x³+y³+z³) − 3(2xyz) 

= 2(x³+y³+z³−3xyz)

HOPE THIS HELPS YOU:-))