thu gọn các tổng sau:
b) (a-b-c)-(a-c)
b) (a+b)-(-a+b-c)
b) -(a+b)+(a+b+c)
c) (a+b-c)-(a-c)
c) (a+b)+(a-c-d+b)
c) -(a-b+c)+(a-b+d)
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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)
= 0 + 0 + 0 - 2d
= -2d
Ý b, c em xem lại xem sao chỗ chữ cái viết hoa chỗ lại viết thường là sao em nhỉ?
a) (a - b + c - d) - (a + b - + c + d) = a - b + c - d - a - b + c - d = -2b + 2c - 2d
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 + c) = -a + b + c + b - c + d - a + b - c = -2a + 3b - c + d
`@` `\text {Ans}`
`\downarrow`
`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 + 2c - 2d`
`b)`
` ( -a + b - c) + ( a - b) - (a - b + c)`
`= -a + b - c + a - b - a + b - c`
`= (-a +a - a) + (b - b + b) + (-c-c)`
`= a + b - 2c`
`c)`
\( – ( a- b- c) + ( b – c+d) – ( a-b +c)\)
`= - a + b + c + b - c + d - a + b - c`
`= (-a -a) + (b + b + b) + (c-c-c) + d`
`= -2a + 3b - c + d`
\(a,\left(a-b+c-d\right)-\left(a+b+c+d\right)\)
\(=a-b+c-d-a-b-c-d\)
\(=-2b-2d\)
\(b,\left(-a+b-c\right)+\left(a-b\right)-\left(a-b+c\right)\)
\(=-a+b-c+a-b-a+b-c\)
\(=-a+b-2c\)
\(c,-\left(a-b-c\right)+\left(b-c+d\right)-\left(-a+b+d\right)\)
\(=-a+b+c+b-c+d+a-b-d\)
\(=b\)
\(a,=a-b+c-d-a-b-c-d=-2b-2d\\ b,=-a+b-c+a-b-a+b-c=-a+b-2c\)
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
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
a) ( a + b + c ) - ( a - b - c )
= ( a + b + c ) - a + b + c
= a + ( - a ) + b + c + b + c
= 0 + b + c + b + c
= ( b + c ) x 2
b) ( a + b - c ) + ( a - b ) - ( a - b - c )
= ( a + b - c ) + a - b - a + b + c
= [ a + a + ( -a ) ] + [ b + ( -b ) + b ] + [ ( -c ) + c ]
= a + b + 0
= a + b
c) - ( a - b - c ) + ( -a + b - c ) - ( -a + b + c )
= ( -a ) + b + c + ( -a ) + b - c + a - b - c
= [ ( -a ) + ( -a ) + a ] + [ b + b + ( -b ) ] + [ c + ( -c ) + ( -c ) ]
= ( -a ) + b + ( -c )
a , ( a + b + c ) - ( a - b - c )
= a + b + c - a + b + c
= ( a - a ) b + b + c + c
= 0 + b + b + c + c
= 0 + 2b + 2c
= 0 + 2(b + c )
= 2(b+c)
b , ( a + b - c ) + ( a - b ) - ( a - b - c )
= a + b - c + a - b - a + b + c
= ( a - a ) + b + b + ( - c + c )
= 0 + b + b + 0
= 2b
c , - ( a - b - c ) + ( - a + b - c ) - ( - a + b + c )
= - a + b + c - a + b - c + a - b - c
= ( - a + a ) + ( b - b ) + ( c - c ) + a + b
= 0 + 0 + 0 + a + b= a + b
a) A = ( a+ b – c + d ) – ( - a – b + c – d )
= a+ b – c + d + a + b - c + d
= 2a + 2b + 2d – 2c
b) B = ( a+ b – c ) + ( a – b ) – ( a – b - c )
= a+ b – c + a – b – a + b + c
= a + b
1: =a-b+c-a-c=-b
2: =a+b-b+a+c=2a+c
3: =-a-b+c+a-b-c=-2b
4: =ab+ac-ab-ad-ac+ad=0
\(\left(a-b-c\right)-\left(a-c\right)=a-b-c-a+c=-b\\ \left(a+b\right)-\left(-a+b-c\right)=a+b+a-b+c=2a+c\\ -\left(a+b\right)+\left(a+b+c\right)=-a-b+a+b+c=c\\ \left(a+b-c\right)-\left(a-c\right)=a+b-c-a+c=b\\ \left(a+b\right)+\left(a-c-d+b\right)=a+b+a-c-d+b=2a+2b-c-d\\ -\left(a-b+c\right)+\left(a-b+d\right)=-a+b-c+a-b+d=-c+d\)
b, =a-b-c-a+c=-b
b, =a+b+a-b+c=2a+c
b, =-a-a+a+b+c=a+b+c
c,= a+b-c-a+c=2a+b
c, =a+b+a-c-d+b=2a+2b-c-d
c, =-a+b-c+a-b+d=-c+d