TA CÓ:a=b+1

THAY a-b=1 VÀ a=b+1 VAO S, TA CO

CÒN LÀM NỐT(TUI LƯỜI LẮM LẮM)^_^

S= ( a-b-c) + ( -c + b + a ) - ( a - b )

S= a + b + c + c + b + a - a -b

S= [ ( -a ) - a ] - ( -b + b ) - [ ( -c ) + c ] - ( a - b )

S=      0          -       0         -      0            - 1

S= -1

tick nha

Bài 1:

\(a\left(b-2\right)=3\Rightarrow a\left(b-2\right)=Ư\left(3\right)\)

\(a\left(b-2\right)=a=Ư\left(3\right)=\left\{\pm1;\pm3\right\}\)

Mà \(a>0\Rightarrow a=\left\{1;3\right\}\)

\(\Rightarrow\left[\begin{matrix}a=1\Rightarrow b-2=3\Rightarrow b=5\\a=3\Rightarrow b-2=1\Rightarrow b=3\end{matrix}\right.\)

\(\Rightarrow a=\left\{1;3\right\},b=\left\{5;3\right\}\)

Bài 2:

\(S=-\left(a-b-c\right)+\left(-c+b+a\right)-\left(a+b\right)\)

\(=-a+b+c-c+b+a-a-b\)

\(=\left(-a+a-a\right)+\left(b+b-b\right)+\left(c-c\right)\)

\(=-a+b+0\)

\(=b-a\)

Vì \(a>b\Rightarrow\left|S\right|=a-b\)

Bài 3:

\(A+B=a+b-5+\left(-b-c+1\right)\)

\(=a+b-5-b-c+1=a-c-4\)(1)

\(C-D=b-c-4-\left(b-a\right)\)

\(=b-c-4-b+a=-c-4+a=a-c-4\)(2)

Từ (1) và (2) \(\Rightarrow A+B=C-D\)(Đpcm)

\(a,\frac{1}{a}+\frac{1}{b}+\frac{1}{c}=0=>\frac{ab+bc+ac}{abc}=0=>ab+bc+ac=0.abc=0\)

Mà \(a+b+c=1=>\left(a+b+c\right)^2=1=>a^2+b^2+c^2+2ab+2bc+2ac=1\)

\(=>a^2+b^2+c^2+2\left(ab+bc+ac\right)=1=>a^2+b^2+c^2=1-0=1\) (vì ab+bc+ac=0)

\(b,S=\frac{a}{b+c}+\frac{b}{a+c}+\frac{c}{a+b}=\left(\frac{a}{b+c}+1\right)+\left(\frac{b}{a+c}+1\right)+\left(\frac{c}{a+b}+1\right)-3\)

\(=\frac{a+b+c}{b+c}+\frac{a+b+c}{a+c}+\frac{a+b+c}{a+b}-3=\left(a+b+c\right).\left(\frac{1}{a+b}+\frac{1}{b+c}+\frac{1}{a+c}\right)-3\)

\(=2014.\frac{1}{2014}-3=1-3=-2\)

Vậy.....................

S=0 nak.

Tick cho mik vs

nêu cách làm đc ko bạn

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

\(S=-\left(a-b-c\right)+\left(-c+b+a\right)-\left(a+b\right)\)

\(S=-a+b+c-c+b+a-a-b\)

\(S=-a+b=-\left(a-b\right)=-1\)

\(S=\frac{a}{b+c}+\frac{b}{c+a}+\frac{c}{b+a}=\frac{a+b+c}{b+c}+\frac{a+b+c}{c+a}+\frac{a+b+c}{a+b}-3=\left(a+b+c\right)\left(\frac{1}{b+c}+\frac{1}{c+a}+\frac{1}{a+b}\right)-3=2015.\frac{1}{90}-3=19\frac{7}{18}\)

lay ong di qua lay ba di lai cho xin may tick