One of the factors of...

Question

anonymous · Answer

$$a^3(b-c)^3+b^3(c-a)^3+c^3(a-b)^3 $$

anonymous · Answer

A)  a+b+c               B) a-b-c
C) ab+bc+ca          D) a-b

akshay_budhkar · Answer

so how does that help moneybird (koala bied :P )

akshay_budhkar · Answer

wow i still cant figure it out lemme take a pen and paper now

anonymous · Answer

Expanded form
-3 a^3 b^2 c+3 a^2 b^3 c+3 a^3 b c^2-3 a b^3 c^2-3 a^2 b c^3+3 a b^2 c^3

pretty sure -3abc is a factor

anonymous · Answer

But from the options which is a factor ?

akshay_budhkar · Answer

its either A or C lemme see which of these now

anonymous · Answer

-3 a^3 b^2 c+3 a^2 b^3 c+3 a^3 b c^2-3 a b^3 c^2-3 a^2 b c^3+3 a b^2 c^3
= -3abc (a-b)(a-c)(b-c)

anonymous · Answer

Answer is D

anonymous · Answer

According to answer key it's D

anonymous · Answer

Can you explain it ?

akshay_budhkar · Answer

kewl :D lolz i need to use my head now :P well done moneybird.. but how io.O

anonymous · Answer

I just expanded and collect like terms and factor them

anonymous · Answer

Oh, Ok thanks

akshay_budhkar · Answer

lol i wish i could give u medal twice :D for ur perseverance hehe

anonymous · Answer

LOL We shouldn't help others for medals

akshay_budhkar · Answer

of course i dont do it for that.. it just a way o acknowledging you and praising you hehe

anonymous · Answer

Thanks hehe