Bỏ dấu ngoặc rồi rút gọn biểu thức sau
a,(a+b) (c+d)-(a+d) (b+c)
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
Bỏ dấu ngoặc rồi rút gọn biểu thức
(a+b).(c+d)-(a+d).(b+c)
(a+b).(c-d)-(a-b).(c+d)
(a+b)2-(a-b)2
1) \(=ac+ad+bc+bd-ab-ac-db-dc=ad+bc-dc-ab=d\left(a-c\right)-b\left(a-c\right)=\left(a-c\right)\left(d-b\right)\)
2) \(=ac-ad+bc-bd-ac-ad+bc+bd=2bc-2ad=2\left(bc-ad\right)\)
3) \(\left(a+b\right)\left(a+b\right)-\left(a-b\right)\left(a-b\right)=a^2+2ab+b^2-a^2+2ab-b^2=4ab\)
bài 1 bỏ dấu ngoặc rồi rút gọn biểu thức a)-(-a+c-d) - (c-d+a) b)- (a+b-c+d) + (a-b-c-d) c)a(b-c-d)- a(b+c-d)
mng giáo viên hà ngọc thắng giải cho
Bài 1: bỏ dấu ngoặc rồi rút gọn biểu thức a, - ( - a + c - d ) - ( c - d + 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 - d + d) = a - c + d - c + d - d = a + d
b, - ( a+b-c+d) + (a-b-c-d) = -a -b+c-d + a-b-c-d = -2b + (-2c)= -2(b+c)
Bỏ dấu 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 ) - ( b - c + d)
d) ( b + a) + ( c - d) - (c +a ) - ( b - d)
e) ( a - b) - ( d + a) - (c - d) + ( c + b)
f) - a + ( c- b ) - (c + a - b)
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!!
a) - ( -a + c - d ) - ( c - a + d ) = a - c + d - c + a - d = ( a + a ) - ( c + c ) + ( d - d ) = 2a - 2c = 2 ( a - c )
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
c) ( a + b - c ) - ( b - c + d ) = a + b - c - b + c - d = a + ( b + b ) - ( c - c ) - d = a + 2b -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
=))
1.Tìm x\(\in\)Z biết
\(||x-5|-3|-9\)
2 Bỏ dấu ngoặc rồi rút gọn biểu thức
a . (b - c - d) - a . (b + c - d)
Bỏ dấu ngoặc rồi rút gọn các biểu thức sau:
a)A = (a - b) – (a – b + c)
b)B = (a + b + c) – (a + b - 5)
a)A = (a - b) – (a – b + c)
A=a-b-a+b-c
A=(a-a)+(b-b)-c
A=-c
b)B = (a + b + c) – (a + b - 5)
B=a+b+c-a-b+5
B=(a-a)+(b-b)+(c+5)
B=c+5
a) A = (a - b) - (a - b + c)
A = a - b - a + b - c
A = -c
b) B = (a + b + c) - (a + b - 5)
= a + b + c - a - b + 5
= c + 5
a) A = (a - b) - (a - b + c)
A = (a - b) - (a - b) + c
A = 0 + c
A = c
b) B = (a + b + c) - (a + b - 5)
B = c - (-5)
B = c + 5
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 rút gọn biểu thức
a) (-a).(b-c-d)
b) x.(y-z-2)
c)(-3).(2x - 5)
a, \(\left(-a\right)\left(b-c-d\right)=-ab+ac+ad\)
b, \(x\left(y-z-2\right)=xy-xz-2x\)
c, \(\left(-3\right)\left(2x-5\right)=-6x+15\)