Cho bieu thuc : A = ( -a - b + c ) - ( -a - b -c )
a ) Rut gon A
rut gon bieu thuc
(-a-b+c) - (-a-b-c)
= ( -a ) -b +c + a +b +c
=[ ( -a ) + a ] + b - b + c + c
= 0 + ( b-b ) + ( c+c )
=0+0+ 2x
=2x
(-a-b+c) - (-a-b-c)
=-a-b+c+a+b+c
=(a-a)+(b-b)+(c+c)
=0+0+c.2
=c2
rut gon bieu thuc
(-a-b+c) - (-a-b-c)-2b
= -a - b + c + a + b +c -2b
= 2c- 2b
=2. ( c - b)
hok tốt
\(\left(-a-b+c\right)-\left(-a-b-c\right)-2b\)
\(=-a-b+c+a+b+c-2b\)
\(=2c-2b=2.\left(c-b\right)\)
rut gon bieu thuc
(-a-b+c) - (-a-b-c)-2b
= -a - b + c +a + b + c -2b
= 2c - 2b
= 2.(c - b)
hok tốt
=-a - b + c + a + b + c - 2b
=2c - 2b
=2 . ( c - b)
học tốt nha bạn hiền
cho bieu thuc A = [ -a - b + c ] - [ -a - b -c ]
rut gon a . tih gi tri A khi a = 1 , b = -1 , c = -2
Ta có A=(-a-b+c)-(-a-b-c)
=-a-b+c+a+b+c
=(-a+a)+(-b+b)+(-c+c)
=0
Khi a=1 ; b=-1;c=2
Thì A =(-1+1+2)-(-1+1-2)
=2-2
=0
Rut gon bieu thuc: (a-b+c)^2+2(a-b+c)(b-c)+(b-c)^2
Dùng hằng đẳng thức A2 + 2AB + B2 = ( A + B)2 :
Ta được ... = (a-b+c+b-c)2 = a2
rut gon bieu thuc
(a+b-c)^2 - (a-c)^2- 2ab+ 2bc
\(\left(a+b-c\right)^2-\left(a-c\right)^2-2ab+2bc\)
\(=\left(a-c\right)^2+2b\left(a-c\right)+b^2-\left(a-c\right)^2-2ab+2bc\)
\(=2b\left(a-c\right)+b^2-2ab+2bc\)
\(=2ab-2bc+b^2-2ab+2bc=b^2\)
rut gon bieu thuc S = a-b/a+b + b-c/b+c + c-a/c+a + (a+b)(b-c)(c-a) / (a+b)(b+c)(c+a)
rut gon bieu thuc
(a+b-c)2+(a-b+c)2-2(b-c)2
(a+b-c)^2 + (a-b+c)^2 - 2(b-c)^2
= (a + b - c)^2 - (b - c)^2 + (a - b + c)^2 - (b - c)^2
= (a + b - c + b - c)(a + b - c - b + c) + (a - b + c - b + c)(a - b + c + b - c)
= a^2 + a^2
= 2.a^2
Cho x/a =y/b =z/c va a b c x y z khac 0 rut gon bieu thuc b = ( a^2x + b^2y + c^2z ) / x^3 +y^3+z^3