Question

Q.3 Factorize the following by using a suitable identity:
(a-b) ^3+ (b-c)^3+(c-a) ^3​

Answer 1

Answer:

3(a-b)(b-c)(c-a)

Step-by-step explanation:

Let A=a-b, B=b-c, and C=c-a

Then A+B+C = a-b+b-c+c-a=0

We know that if A+B+C=0, then

A^3 + B^3 + C^3 = 3ABC

=3(a-b)(b-c)(c-a)

Answer 2

Answer:

3(a-b)(b-c)(c-a)

Step-by-step explanation:

Let A=a-b, B=b-c, and C=c-a

Then A+B+C = a-b+b-c+c-a=0

We know that if A+B+C=0, then

A^3 + B^3 + C^3 = 3ABC

=3(a-b)(b-c)(c-a)

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