Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
-a-b+a+c=-b+c
-a+b-c-a-b-c=-2a-2c
a+b-a-b+a-c-a-c=-2c
-a-c+a-b-c=-2c+b
b-b-a+c=-a+c
a+b-c+a-b+c-b+c-a-a+b+c=2c
a)\(\left(a+b\right)-\left(a-b\right)+\left(a-c\right)-\left(a+c\right)=a+b-a+b+a-c-a-c\)
\(=2a-2a+2b-2c=0+2\left(b-c\right)=2\left(b-c\right)\)
b)\(\left(a+b-c\right)+\left(a-b+c\right)-\left(b+c-a\right)-\left(a-b-c\right)\)
\(=a+b-c+a-b+c-b-c+a-a+b+c\)
\(=3a-a+2b-2b+2c-2c=2a+0+0=2a\)
c)\(-\left\{-\left(a+b\right)-\left[-\left(a-b\right)-\left(a+b\right)\right]\right\}=\left\{-\left(a+b\right)-\left[b-a-a-b\right]\right\}\)
\(=-\left\{-\left(a+b\right)-b+a+a+b\right\}\)
\(=-\left\{b-a-b+2a+b\right\}\)
\(=-\left\{b-b+b+2a-a\right\}\)
\(=-\left\{b+a\right\}=-a-b\)
a) a(b-c)+c(a-b)=ab-ac+ca-cb=ab-cb=b(a-c)
b) a(b-c)-b(a+c)=ab-ac-ab-bc=-ac-bc=-c(a+b)
c) a(b+c)-b(a-c)=ab+ac-ab+bc=ac+bc=c(a+b)
d) a(b-c)-a(b+d)=ab-ac-ab-ad=-ac-ad=-a(a+d)
À mk nghĩ ra rồi ko cần các bn giúp đâu.
Chỉ cần nhận xét thôi.
Vì a=b+c.
=>a-b-c=0.
=>Ko thể rút gọn đc như trên.
Đúng ko thế mấy bn.
a: a+b=-(|a|+|b|)
=>a<0; b<0
b: a+b=|b|-|a|
=>b>0; a<0
c: a+b=-(|b|-|a|)=|a|-|b|
=>a>0; b<0
d: a+b=|a|-|b|
=>a>0; b<0
e: =>
a+b=|b|-|a|
=>b>0; a<0
a. \(-a-\left(b-a-c\right)=-a-b+a+c=c-b\)
b. \(-\left(a-c\right)-\left(a-b+c\right)=-a-c-a+b-c=b-2a-2c\)
c. \(b-\left(b+a-c\right)=b-b-a+c=c-a\)
d.\(-\left(a-b+c\right)-\left(a+b+c\right)=-a+b-c-a-b-c=-2a-2c=-2\left(a+c\right)\)e. \(\left(a+b\right)-\left(a-b\right)+\left(a-c\right)-\left(a+c\right)=a+b-a+b+a-c-a-c=2b-2c=2\left(b-c\right)\)
f. \(\left(a+b-c\right)+\left(a-b+c\right)-\left(b+c-a\right)-\left(a-b-c\right)=a+b-c+a-b+c-b-c+a-a+b+c=2a\)
a) -a - (b - a - c)
= -a - b + a + c
=[ -a + a] - (b + c)
= 0 - (b + c)
= -(b + c)
d) -(a - b + c) - (a + b + c)
= -a + b - c - a - b - c
= (-a - a) + (b - b) + (c - c)
= (-a - a) + 0 + 0
= -a - a
e) (a + b) - (a - b) + (a - c) - (a + c)
= a + b - a + b + a - c - a - c
= (a - a) - (a + a) + (b + b) - (c - c)
= 0 + 2a + 2b - 0
= 2a + 2b
b) -(a - c) - (a - b + c)
= -a + c - a + b - c
= (-a - a) + (c - c) + b
= [(-a) + (-a)] + 0 + b
= 2(-a) + b
c) b - (b + a - c)
= b - b - a + c
= 0 - a - c
= -a - c
f) (a + b - c) + (a - b + c) - (b + c - a) - (a - b - c)
= 0 - (b + c - a) - (a - b - c)
= 0 - b - c + a - a + b - c
= -b - c + a - a + b - c
= (-b + b) - (c - c) + (a - a)
= 0 - 0 + 0
= 0
\(a-b-\left\{a-\left[a+b-\left(a-b\right)+a\right]\right\}\)
\(=a-b-\left[a-\left(a+b-a+b+a\right)\right]\)
\(=a-b-\left[a-\left(a+2b\right)\right]=a-b-\left(a-a-2b\right)\)
\(=a-b+2b=a+b\)
a-b-{a-[a+b-(a-b)+a]}
=a-b-{a-[a+b-a+b+a]}
=a-b-{a-[a+2b]}
=a-b-{a-a-2b]}
=a-b-{-2b}
=a-b+2b=a+b