(a+b+c)\(^3\)-(b+c-a)\(^3\)-(a+c-b)\(^3\)-(a+b-c)\(^3\)
rut gon bieu thuc
rut gon bieu thuc \(\left(a+b+c\right)^3-\left(b+c-a\right)^3-\left(a+c-b\right)^3-\left(a+b-c\right)^3\)
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
Cho a+b+c=0. Rut gon bieu thuc M=a3+b3+c(a2+b2)-abc
a+b+c=0 <=> c = -a-b
M = a3+b3+c(a2+b2)-abc
M = a3+b3+(-a-b)(a2+b2)-abc
M = a3+b3-a3-a2b-ab2-b3-abc
M = -a2b-ab2-abc
M = -ab(a+b+c)
M = -ab.0 = 0
rut gon bieu thuc
(a+b)\(^2\)+(b+c)\(^2\)+(c+a)\(^2\)-3(a+b)(b+c)(c+a)
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) - (-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 )
a ) Rut gon A
A = (-a - b + c) - (-a - b - c)
= -a - b + c + a + b + c
= (a - a) + (b - b) + (c + c)
= 0 + 0 + 2c
= 2c
A = (-a - b + c ) - ( -a - b - c )
A = -a -b - c + a + b + c
A = (-a + a ) + (-b + b ) + (c + c)
A= 0 + 0 + 2c
A= 2c
Vay A= 2c
tik nha
A = (-a-b+c)-(-a-b-c)
= -a-b+c+a+b+c
= (-a+a)-(b-b)+(c+c)
= 0-0+c.2
= c.2
Cho phan thuc B=(3\y+3)+(1\y-3)-(18\9-y2)
a)Tim dieu kien cua y de gia tri cua bieu thuc B duoc xac dinh
b)Rut gon bieu thuc B
c)Tinh gia tri cua B de B co gia tri nguyen