find the product of abc(bc+ca)
Answers
Answered by
0
Answer:
(a+b+c)(a
2
+b
2
+c
2
−ab−bc−ac)
We know that(x+y+z)(x
2
+y
2
+z
2
−xy−yz−zx=x
3
+y
3
+z
3
−3xyz
Comparing both, we get
x=a,y=b and z=c
Then (a+b+c)[(a)
2
+(b)
2
+(c)
3
−(a)(b)−(b)(c)−(a)(c)]
=a
3
+b
3
+c
3
−3(a)(b)(c)
=a
3
+b
3
+c
3
−3abc
Similar questions