Làm tính nhân:
A) (a-b-c)^2
B) (a-b)^3
M.n ơi giúp mk nha.
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Ta có: \(\frac{2a+b+c}{a}=\frac{a+2b+c}{b}=\frac{a+b+2c}{c}\)
\(\Rightarrow\frac{2a+b+c}{a}-1=\frac{a+2b+c}{b}-1=\frac{a+b+2c}{c}-1\)
\(\Rightarrow\frac{a+b+c}{a}=\frac{a+b+c}{b}=\frac{a+b+c}{c}\)
Mà \(a,b,c\ne0\)
=> a = b= c
\(A=\frac{a+b}{c}+\frac{b+c}{a}+\frac{c+a}{b}\)
\(=\frac{c+c}{c}+\frac{a+a}{a}+\frac{b+b}{b}\)
\(=\frac{2c}{c}+\frac{2a}{a}+\frac{2b}{b}\)
\(=2+2+2=6\)
a+b+c = 0 => a+b=-c ; b+c=-a ; c+a=-b
=> (1+a/b).(1+b/c).(1+c/a) = a+b/b . b+c/c . c+a/a = -c/b . (-a)/c . (-b)/a = -abc/abc = -1
k mk nha
( a + b ) _ ( b _ a ) + c = 2a + c
\(a+b-b+a+c=2a+c\)
\(\left(a+a\right)+\left(b-b\right)+c=2a+c\)
\(2a+0+c=2a+c\)
\(2a+c=2a+c\Rightarrowđpcm\)
- ( a + b _ c ) + ( a _ b _c ) = - 2b
\(-a-b+c+a-b-c=-2b\)
\(\left(-a+a\right)+\left(-b-b\right)+\left(c-c\right)=-2b\)
\(0-2b+0=-2b\)
\(-2b=-2b\Rightarrowđpcm\)
a nhân ( b+ c ) _ a nhân ( b + d ) = a nhân ( c _ d )
\(ab+ac-ab+ad=a.\left(c-d\right)\)
\(a.\left(b+c-b+d\right)=a.\left(c-d\right)\)
\(a.\left(c-d\right)=a.\left(c-d\right)\Rightarrowđpcm\)
a nhân ( b _ c ) + a nhân ( d + c ) = a nhân ( b + d )
\(ab-ac+ad+ac=a.\left(b+d\right)\)
\(a.\left(b-c+d+c\right)=a.\left(b+d\right)\)
\(a.\left(b+d\right)=a.\left(b+d\right)\)
chúc bạn học tốt!!!
( a _ b + c ) _ ( a+ c ) = - b
\(a-b-c-a-=-b\)
\(\left(a-a\right)-c-b=-b\)
\(0-c-b=-b\)
\(-b=-b\Rightarrowđpcm\)
1) (a-b+c)-(a+c)=-b=a-b+c-a-c=-b
2)(a+b)-(b-a)=2a+c=a+b-b+c+c=2c+a(ko the bang 2a+c)
3)-(a+b-c)+(a-b-c)=-a-b+c+c-b-c=-2c
tk minh nha
lam dc the thoi
a) A = (a - 2b + c) - (a - 2b - c)
= a - 2b + c - a + 2b + c
= (a - a) - (2b - 2b) + (c + c)
= 2c
b) tương tự trên
c) C = 2(3a + b - 1) - 3(2a + b - 2)
= 6a + 2b - 2 - 6a - 3b + 3
= (6a - 6a) + (2b - 3b) - (2 - 3)
= 0 - b + 1
= -b + 1
d) D = 4(x - 1) - (3x + 2)
= 4x - 4 - 3x - 2
= (4x - 3x) - (4 + 2)
= x - 6
A) (a-b-c)^2=a^2-b^2-c^2-2ab+2bc-2bc
B) (a-b)^3=a^3-3a^2b+3ab^2-b^3
\(a^2+b^2+c^2-2ab-2bc-2ac\)
\(a^3-3a^2b+3ab^2-b^3\)