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a) A = ( 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 + 2b + 2(-c)[ - c - c = -c + ( -c )]
= 2b + 2(-c)
=2(b - c )(= 2 . [ b + ( - c ) ] )
b) B = ( a + b - c ) + ( a - b + c )- ( b + c - a ) - ( a - b - c )
B = a + b - c + a - b + c - b - c + a - a + b + c
B = ( a + a + a - a ) + ( b - b - b + b ) + ( -c + c - c + c )
B = 2a + 0 + 0
B = 2a
a,A=a+b-a+b+a-c-a-c
=2b-2c-a
b,B=a+b-c+a-b+c-b-c+a-a+b+c
=2a+0b+0c
A,-315/ 540 = -315 : 45/ 540 : 45 = -7/ 12
B, 25.13/26.35 = 5.5.13/ 2.13.5.7 = 5/ 2.7 = 5/ 14
C, 6.9 - 2.17/ 63.3 - 119 = 2.3.9 - 2.17/ 7.9.3 - 7.17 = 2.27 - 2.17/ 7.27 - 7.17
= 2( 27 - 17)/ 7(27 - 17) = 2/ 7
D, 2929 - 101/ 2.1919+404 = 29.101 - 101.1/ 2.19.101+101.4
= 101(29 - 1)/ 38.101+ 4.101
= 101.28/ (38+4)101
= 101.28/ 42.101
= 28/ 42 = 2/ 3
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) \(\left(a+b\right)\left(a+b\right)-\left(a-b\right)\left(a-b\right)=a^2+2ab+b^2-a^2+2ab-b^2=4ab\)
\(-\left(a+c-d\right)-\left(c-a+d\right)\)
=\(-a-c+d-c+a-d\)
=\(\left(-a+a\right)-\left(c-c\right)+\left(d-d\right)\)
=\(0-0+0\)
\(=0\)
-(a+c-d)-(c-a+d)
=-a-c+d-c+a-d
= -2c
Đ/s : -2c