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a, \(\left(a+b+c+d\right)-\left(a-b+c-d\right)\)
\(=a+b+c+d-a+b-c+d=2b+2d\)
\(=2.\left(b+d\right)\)
b, \(\left(-a+b-c+d\right)+\left(a+d\right)+\left(-b+c\right)\)
\(=-a+b-c+d+a+d-b+c\)
\(=2d\)
c, \(-\left(a-b-d\right)+\left(b-c+d\right)-\left(-c+b-d\right)\)
\(=-a+b+d+b-c+d+c-b+d\)
\(=-a+b+3d\)
Chúc bạn học tốt!!!
a,(a+b+c+d)-(a-b+c-d) = a + b + c + d - a + b - c + d = (a - a) + (b + b) + (c - c) + (d + d) = 2b + 2d = 2.(b + d)
b,(-a+b-c+d)+(a+d)+(-b+c) = -a + b - c + d + a + d - b + c = (-a + a) + (b - b) + ( -c + c) + (d + d) = 2d
c,-(a-b-d)+(b-c+d)-(-c+b-d)= -a + b + d + b - c + d + c - b + d = -a + (b + b - b) + (-c + c) + ( d + d + d) = -a + b + 3d
a) ( a - b + c -d ) - ( a+ b + c + d ) = a - b + c - d - a - b - c - d = -2b - 2d
b) ( -a + b -c ) + ( a - b ) - ( a- b + c ) = -a + b - c + a - b - a + b - c = -a + b - c - c = -a + b - 2c
c) - ( a - b - c ) + ( b - c + d ) - ( -a + b + d )
a) (a-b+c-d)-(a+b+c+d)
=a-b+c-d-a-b-c-d
=-2b-2d
=2(b-d)
b) (-a+b-c)+(a-b)-(a-b+c)
=-a+b-c+a-b-a+b-c
=-a+b-2c
c) -(a-b-c)+(b-c+d)-(-a+b+d)
=-a+b+c+b-c+d+a-b-d
=b
1) \(a\left(b-c-d\right)-a\left(b+c-d\right)\)
\(=ab-ac-ad-ab-ac+ad\)
\(=-2ac\)
2) \(\left(a+b\right)\left(c+d\right)-\left(a+d\right)\left(b+c\right)\)
\(=ac+ad+bc+bd-ab-ac-bd-cd\)
\(=ad+bc-ab-cd\)
3) \(\left(a+b\right)\left(c-d\right)-\left(a-b\right)\left(c+d\right)\)
\(=ac-ad+bc-bd-ac-ad+bc+bd\)
\(=-2ad+2bc\)
\(=-2\left(ad-bc\right)\)
a) \(\left(a+b-c\right)-\left(b-c+d\right)\)
\(=a+b-c-b+c-d\)
\(=a+b-b-c+c-d\)
\(=a-d\)
b) \(-\left(a-b+c\right)+\left(a-b+d\right)\)
\(=\left(-a\right)+b-c+a+b-d\)
\(=\left(-a\right)+a+b+b-c-d\)
\(=2b-c-d\)
c) \(\left(a+b\right)-\left(-a+b-c\right)\)
\(=a+b+a-b+c\)
\(=a+a+b-b+c\)
\(=2a+c\)
d) \(-\left(a-b-c\right)+\left(a-b-c\right)\)
\(=-a+b+c+a+b+c\)
\(=-a+a+b+b+c+c\)
\(=2b+2c\)
(chắc hơi sai... > . < ...)
\(a,\left(a-b+c-d\right)-\left(a+b+c+d\right)\)
\(=a-b+c-d-a-b-c-d\)
\(=-2b-2d\)
\(b,\left(-a+b-c\right)+\left(a-b\right)-\left(a-b+c\right)\)
\(=-a+b-c+a-b-a+b-c\)
\(=-a+b-2c\)
\(c,-\left(a-b-c\right)+\left(b-c+d\right)-\left(-a+b+d\right)\)
\(=-a+b+c+b-c+d+a-b-d\)
\(=b\)
E = ac + ad + bc + bd - ab - ac - bd - cd - ad + ab + cd - bc
E = -ab
Kiểm tra lại giúp chị nhé!
a) -(-a + c - d) - (c - a + d) = a - c + d - c + a - d = (a + a) - (c + c) + (d - d) = 2a - 2c
b) -(a + b - c + d) + (a - b - c - d) = -a - b + c - d + a - b - c - d = (-a + a) - (b + b) + (c - c) - (d + d) = -2b - 2d
c) (a + b - c) - (b - c + d) = a + b - c - b + c - d = a + (b - b) - (c - c) - d = a - d
d) (b + a) + (c - d) - (c + a) - (b - d) = b + a + c - d - c - a - b + d = (b - b) + (a - a) + (c - c) - (d - d) = 0
e) (a - b) - (d + a) - (c - d) + (c + b) = a - b - d - a - c + d + c + b = (a - a) - (b - b) - (d - d) - (c - c) = 0
f) -a + (c - b) - (c + a - b) = - a + c - b - c - a + b = (-a - a) + (c - c) - (b - b) = -2a
a ) a - c + d - c + a - d = 2a - 2c
b ) -a - b + c - d + a - b - c - d = -2b - 2d
CÁC CÂU CÒN LẠI LÀM TƯƠNG TỰ NHÉ!!
may cau sau tuong tu pha ngoac ra roi rut gon
a,a+b+c-d-a+b-c+d+a=a+2b
b, -a+b-d+b-c+d+c-b-d=-a+b-d
c,a-b-c+d+b+c=a+d