Question

Prove that:(a-b)2 (b-c)2-(c-a)2=... pls do it in a easy way for me to understand guys...so that i can mark as brainliest....​

Answer 1

(a-b)2(b-c)2-(c-a)2  

Final result :

 a2b2 - 2a2bc + a2c2 - a2 - 2ab3 + 4ab2c - 2abc2 + 2ac + b4 - 2b3c + b2c2 - c2

Step by step solution :  

Step  1  :

Equation at the end of step  1  :

 (a - b)2 • (b - c)2 -  (c - a)2

Step  2  :

2.1     Evaluate :  (a-b)2   =    a2-2ab+b2  

2.2     Evaluate :  (b-c)2   =    b2-2bc+c2  

2.3     Evaluate :  (c-a)2   =    c2-2ac+a2  

Final result :

 a2b2 - 2a2bc + a2c2 - a2 - 2ab3 + 4ab2c - 2abc2 + 2ac + b4 - 2b3c + b2c2 - c2