Phá ngoặc và rút gọn -(a+b-c+d)+(a-b-c-d)
Phá ngoặc và rút gọn -(-a+c-d)-(c-a+d)
-(-a+c-d)-(c-a+d)=a-c+d-c+a-d=(a+a)-(c+c)+(d-d)=2a-2c+0=2(a-c)
phá ngoặc rồi rút gọn
(a+b-c)+(a-b+c)-(b+c-a)-(a-b-c)
(a+b-c)+(a-b+c)-(b+c-a)-(a-b-c)
= a + b - c + a - b + c - b - c + a - a + b + c
= ( a - a ) + ( b - b ) - ( c - c ) + ( a + a ) - ( b + b ) + ( c + c )
= 0 + 0 - 0 + 2a - 2b + 2c
= 2a - 2b + 2c
Bỏ dấu ngoặc và rút gọn tích sau (a+b) . (c+d) - (a+d). (b+c)
(a+b) . (c+d) - (a+d). (b+c)
=(a+b)c+(a+b)d-(a+d)b+[-(a+d)c]
=ac+bc+ad+bd-ab-db-ac-dc
=(ac-ac)+(bd-db)+bc+ad-ab-dc
=0+0+bc+ad-ab-dc
=bc+ad-ab-dc
=(ad-ab)-(dc-bc)
=a(d-b)-c(d-b)
=(d-b).(a-c)
nhớ ủng hộ cho mình 1 đúng nhe
Phá ngoặc rồi rút gọn biểu thức sau
1,-(a+b)-(b-c)-(a+c)
2,-(-2a-b)+(b-c)-(-c+a)
\(\text{-(a+b)-(b-c)-(a+c) }\)
\(-a-b-b+c-a-c\)
\(=-2a-2b\)
Đó là câu 1
Học tốt
\(-\left(a+b\right)-\left(b-c\right)-\left(a+c\right)=-a+b-b+c-a-c\)
\(=-2a\)
2\(-\left(-2a+b\right)+\left(b-c\right)-\left(-c+a\right)\)
\(=2a-b+b-c+c-a\)
\(=a\)
\(\text{1,-(a+b)-(b-c)-(a+c)= -a-b-b+c-a-c=-2a-2b }\)
\(\text{2,-(-2a-b)+(b-c)-(-c+a)}=2a+b+b-c+c-a=a+2b\)
bỏ ngoặc rồi rút gọn : -(a b-c)+(b-c+d)-(-a+b+d)
- (a + b - c) + (b - c + d) - (-a + b + d)
= -a -b + c + b - c + d + a - b - d
= -b
Bỏ ngoặc rồi rút gọn biểu thức:
a) - ( - a + c – d ) – ( c – a + d ) ; b) – ( a + b - c + d ) + ( a – b – c –d )
c) a( b – c – d ) – a ( b + c – d ) ; d)(a+ b) ( c + d) – ( a + d ) ( b + c )
e)( a + b ) ( c – d ) – ( a – b ) ( c + d ) ; f) ( a + b ) 2 – ( a – b ) 2
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
a) - ( - a + c - d) - ( c - a + d )
= a - c + d - c + a - d
= 2a
b) - ( a+ b - c + d ) + ( a -b -c -d )
= - a-b+c-d+a-b-c-d
=-2d -2b
c) a(b-c-d) - a(b+c-d)
= a(b-c-d-b-c+d)
= ab-ac-ad-ab-ac+ad
= -2ab-2ac
d) (a+b)(c+d)-(a+d)(b+c)
= ac+ad+bc+bd - (ab+ac+bd+cd)
= ac+ad+bc+bd-ab-ac-bd-cd
=ad+bc-ab-cd
a) - ( - a + c - d) - ( c - a + d )
= a - c + d - c + a - d
= 2a
b) - ( a+ b - c + d ) + ( a -b -c -d )
= - a-b+c-d+a-b-c-d
=-2d -2b
c) a(b-c-d) - a(b+c-d)
= a(b-c-d-b-c+d)
= ab-ac-ad-ab-ac+ad
= -2ab-2ac
d) (a+b)(c+d)-(a+d)(b+c)
= ac+ad+bc+bd - (ab+ac+bd+cd)
= ac+ad+bc+bd-ab-ac-bd-cd
=ad+bc-ab-cd
e)(a+b)(c-d)-(a-b)(c+d)
= ac-ad+bc-bd-ac-ad+bc+bd
= 2bc-2ad
f) ( a + b )2 – ( a – b )2
= a2+2ab+b2 - (a2+2ab-b2)
=a2+2ab+b2 - a2-2ab+b2
=2b2
Bỏ dấu ngoặc rồi rút gọn biểu thức sau
a,(a+b) (c+d)-(a+d) (b+c)
bỏ dấu ngoặc rồi rút gọn
1) -a(-a+c-d)-(c-a+d)
2) -(a+b)-(c+d)+(a-b-c-d)
3) a(b-c-a)-a(b+c-d)
1) -a(-a+c-d)-(c-a+d)
=ad-ac+a2-c+a-d
2) -(a+b)-(c+d)+(a-b-c-d)
=-a-b-c-d+a-b-c-d
=-2b-2c-2d
3) a(b-c-a)-a(b+c-d)
=-ac+ab-a2+ad-ac-ab
=ad-2ac-a2
Bỏ dấu ngoặc rồi rút gọn biểu thức.
a) (a+b)*(c+d)-(a+d)*(b+c)
b) (a+b)*(c-d)-(a-b)*(c+d)
c) (a+b)^2-(a-b)^2