factorize : a(sqrt)2+b(sqrt)2-2(ab-ac+bc)
@Neemo can u help....
\[a ^{2}+b ^{2}-2(ab-ac+bc)\]
@Neemo
now ! It's clear ! \[-2(ab-ac+bc)=\text{???}\] can you re-type that without using "(" ")"
\[-2ab+2ac-2bc\]
Good ! Can you re-type all of \[a^2+b^2-2(ab-ac+bc)\] without using "("("
\[a ^{2}+b ^{2}-2ab+2ac-2bc\]
\[\color{red}{a^2+b^2-2ab}+\color{green}{2}a \color{green}{c}-\color{green}{2}b \color{green}{c}\]
does the "red one" mean something to you ?
\[a ^{2}-2ab+b ^{2}= (a-b)^{2}\]
good ! Do you see the common factor "in the rest" of the expression !
neemo's explanation is good u can see here to understand more http://www.wolframalpha.com/input/?i=a%28sqrt%292%2Bb%28sqrt%292-2%28ab-ac%2Bbc%29
Thank you Shakir !! Can you @basith ?
i dont understand anythin in wolfram......it ill be better if u explained..
just Focus basith ! \[\color{green}{2}b \color{green}{c}-\color{green}{2}a \color{green}{c}\]=??????
\[2c(b-a)\]
its 2ac-2bc...so= 2c(a-b)
then @Neemo ????????
yes ! just re-type the whole expression !
(a-b)(a-b) + 2c(a-b)
then??????'
you don't see anything :) ? the common factor....
(a-b) [a-b+2c].....right????
yeeaaah ! Good ! Very good !
thnx 4 the help
yw ! :)
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