Question

b) Show that (a - b)³ + (b - c)³ +(c - a)³= 3 (a - b)(b -c) (c-a)​

Answer 1

Answer:

Hence proved

Step-by-step explanation:

=(a-b)³+(b-c)³+ (c-a)³

=a³-b³- 3ab(a-b) +b³-c³ - 3bc(b-c) + c³-a³-3ac(a-c)

=a³-a³+ b³-b³ +c³ -c³ - 3ab(a-b)- 3bc(b-c)-3ac(a-c)

=  3 (a - b)(b -c) (c-a)​

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