Giúp mk với mk cần gấp:
Bôỏ ngoặc rồi rút gọn biểu thức:
-(a+c-d)-(c-a+d)
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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
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) \(\left(a+b\right)\left(a+b\right)-\left(a-b\right)\left(a-b\right)=a^2+2ab+b^2-a^2+2ab-b^2=4ab\)
h) \(\left(a-b\right)-\left(c-d\right)-\left(a+d\right)-\left(b+c\right)\)
\(=a-b-c+d-a-d-b-c\)
\(=\left(a-a\right)-\left(b+b\right)-\left(c+c\right)+\left(d+d\right)\)
\(=-2b-2c\)
i) \(-\left(-a+c-d\right)-\left(c-a+d\right)\)
\(=a-c+d-c+a-d\)
\(=\left(a+a\right)-\left(c+c\right)+\left(d+d\right)\)
\(=2a-2c\)
k) \(-\left(a+b-c+d\right)+\left(a-b-c-d\right)\)
\(=-a-b+c-d+a-b-c-d\)
\(=\left(-a+a\right)-\left(b+b\right)+\left(c-c\right)-\left(d+d\right)\)
\(=-2b-2d\)
n) \(-a\left(-b-c+d-e\right)-\left(-a\right)-\left(-b+c-d\right)\)
\(=ab+ac-ad+ae+a+b-c+d\)
\(-\left(a+c-d\right)-\left(c-a+d\right)\)
=\(-a-c+d-c+a-d\)
=\(\left(-a+a\right)-\left(c-c\right)+\left(d-d\right)\)
=\(0-0+0\)
\(=0\)
-(a+c-d)-(c-a+d)
=-a-c+d-c+a-d
= -2c
Đ/s : -2c