Question

Resolve into factors
(x - a)^2(b - c) + (x - b)^2(c - a) + (x - c)^2(a - b)

plz solve this question as fast as you can and send me detail solution...first correct and appropriate answer will get BRAINLIEST ​

Answer 1

SO THIS IS YOUR ANSWER,PLEASE MARK AS BRAINLIEST AND GIVE THANKS AS YOU PROMISED PLEASE.....

a^2(b - c) + b^2(c-a) + c^2(a - b)

= a^2b - a^2c + b^2c - b^2a + c^2a-c^2b

=a^2b - b^2a - a^2c + b^2c + c^2a -c^2b

= ab(a - b) - c(a^2 - b^2) +c^2(a - b)

=ab(a - b) -c(a - b)(a + b) +c^2(a - b)

=(a - b)(ab - c(a + b) +c^2)

=(a - b)(ab - cb -ca + c^2)

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

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

ANOTHER SIMPLIFIED WAY OF DOING THIS IS ALSO ATTACHED IN IMAGE U CAN ALSO REFER IT PLS MARK AS BRAINLIEST PLEASE...