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E=(-a-b+c+d)-(d+c-b-2a)
E=-a-b+c+d-d-c+b+2a
E=-a+(-)b+c+d+(-d)+(-c)+b+2a
E=-a+(-b)+c+d+(-d)+(-c)+b+2a
E=(2a-a)+(-b+b)+(-d+d)+(-c+c)=a+0+0+0=a
Có A+B=(a+2b-15)+((-2b)-c+1)
= (2b+(-2b))+(-15+1)+(a-c)
= 0 + (-14)+(a-c)(1)
Lại có C-D=(6b-c-14)-(6b-a)
= 6b-c-14-6b+a
= (6b-6b)+(a-c)+(-14)(2)
Từ (1),(2)=>A+B=C-D (dpcm)
Ta có:
A + B = (a + 2b - 15) + (-2b - c + 1)
A + B = a + 2b - 15 + (-2b) - c + 1
A + B = (a - c) + [2b + (-2b)] - (15 - 1)
A + B = (a - c) + 0 - 14
A + B = a - c - 14 (1)
Ta có:
C - D = (6b - c - 14) - (6b - a)
C - D = 6b - c - 14 - 6b + a
C - D = (6b - 6b) + (a - c) - 14
C - D = 0 + a - c - 14
C - D = a - c - 14 (2)
Vì (1) bằng với (2) nên A + B = C - D (đpcm)
Bài 1:
a: \(\Leftrightarrow x+3\in\left\{1;-1;2;-2;4;-4\right\}\)
hay \(x\in\left\{-2;-4;-1;-5;1;-7\right\}\)
b: \(\Leftrightarrow x-2+17⋮x-2\)
\(\Leftrightarrow x-2\in\left\{1;-1;17;-17\right\}\)
hay \(x\in\left\{3;1;19;-15\right\}\)
c: \(\Leftrightarrow2x+6+2⋮x+3\)
\(\Leftrightarrow x+3\in\left\{1;-1;2;-2\right\}\)
hay \(x\in\left\{-2;-4;-1;-5\right\}\)
1 , a - ( a - b - c ) - ( b - c -a ) - ( c - b -a )
= a - a + b + c - b + c + a - c + b + a
= (a-a+a) + (b-b+b) + (c-c+c)
= a+b+c
2 , - ( a + b + c ) - ( b - c -a ) + ( 1 - a - b ) - ( c - 3b )
= -a - b - c - b + c + a + 1 - a - b - c + 3b
= (a+a-a) - (b+b+b) + (c-c+c) + 3b
= a - 3b + c + 3b
= a+c + (3b - 3b)
= a+c + 0
= a+c
3 , ( b - c - 6 ) - ( 7 - a + b ) + c
= b - c - 6 - 7 + a - b + c
= (b-b) + (c-c) - (6+7) + a
= 0 + 0 - 13 + a
= -13 + a
4 , - ( 3b - 2a - c ) - ( a - b - c ) - ( a - 2b -+ 2c )
= -3b + 2a + c - a + b + c - a + 2b - 2c
= -3b + (2b + b) + (c + c) - (a+a) +2a - 2c
= -3b + 3b + 2c - 2a + 2a - 2c
= (3b - 3b) + (2c - 2c) + (2a + 2a)
= 0 + 0 + 0
= 0
chỉ bt lm đến đây thoy
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''';l';.;';p''ơ'1) a - ( a - b - c ) - ( b - c - a ) - ( c - b - a )
= a - a + b + c - b + c + a - c + b + a
= 2a + b + c
2) - ( a + b + c ) - ( b - c - a ) + ( 1 - a - b ) - ( c - 3b )
= -a - b - c - b + c + a + 1 - a - b - c + 3b
= 1 - a - c
1,a-(a-b-c)-(b-c-a)-(c-b-a)
=a-a+b+c-b+c+a-c+b+a
=2a+b+c
2,-(a+b+c)-(b-c-a)+(1-a-b)-(c-3b)
=-a-b-c-b+c+a+1-a-b-c+3b
=1-a-c
3,(b-c-6)-(7-a+b)+c
=b-c-6-7+a-b+c
=a-13
4,-(3b-2a-c)-(a-b-c)-(a-2b+2c)
=-3b+2a+c-a+b+c-a+2b-2c
=0
5,(4a-3b+2c)-(4b-3c-2a)-(4c-3a+2b)+(a-b)-c
=4a-3b+2c-4b+3c+2a-4c+3a-2b+a-b-c
=(4a+2a+3a+a)-(3b+4b+2b+b)+(2c+3c-4c-c)
=10a-10b+0
=10.(a-b)
6,
2a-{a-b[a-b-(a+b+c)+2b]-c-b}
=2a-{a-b[a-b-a-b-c+2b]-c-b}
=2a-a-bc+c+b
=a-bc+c+b
=(a+b)-b(c-1)
a - ( a - b - c ) - ( b - c - a ) - ( c - b - a)
= a - a + b + c - b + c + a - c + b + a
= ( a -a + a ) + ( b - b + b ) + ( c + c - c) ( vì mình ko có ngoặc vuông nên chỉ thế này thôi)
= a + b + c
Bạn tự làm hết nha
1)=>a-a+b+b-b+c+a-c+b+a=2a+2b+c=2(a+b)+c
2)=>-a-b-c-b+c+a+1-a-b-c+3b=-a
3)=>b-c-6-7+a-b+c=-13+a
4)-3b+2a+c-a+b+c-a+2b-2c=0
5)=>4a-3b+2c-4b+3c+2a-4c+3a-2b+a-b-c=-2a-10b-2c
2, - ( a + b + c ) - ( b - c -a ) + ( 1 - a - b ) - ( c - 3b )
= -a - b -c - b + c + a + 1 - a - b - c + 3b
= (a-a) - (b+b+b) + (c-c) + (-a) + (-c) + 3b
= 0 - 3b + 0 + (-a) + (-c) + 3b
= (3b-3b) + (-a) + (-c)
= 0 + (-a) + (-c)
= (-a) + (-c)
3, ( b - c - 6 ) - ( 7 - a + b ) + c
= b - c - 6 - 7 + a - b + c
= (b-b) + (c-c) - (6+7) + a
= 0 + 0 + 13 + a
= 13 + a
6, 2a - { a - b [ a - b - ( a + b + c ) + 2b ] - c - b }
= 2a - { a - b [ a - b - a - b - c + 2b ] - c - b }
= 2a - { a - b [ ( a - a ) - (b+b) - c + 2b ] - c - b }
= 2a - { a - b [ 0 - 0 - 2b - c + 2b ] - c - b }
= 2a - { a- b [ (2b - 2b) - c ] - c - b }
= 2a - { a - b [ 0 - c ] - c - b }
= 2a - { a - b.(-c) - c - b}
= 2a - a - b.(-c) - c - b
= 1a - (-b).c - c - b
= a - (-b).c - c.1 - b
= a - [(-b) - 1].c - b
ko chắc lắm
A=a(2b-c)-b(a+c)-(c+b)
=2ab-ac-ab-bc-c-b
=(2ab-ab)-ac-bc-c-d
=ab-ac-bc-c-b
B=(a+3b)(c-d)-(3a-d)(b+c)-2c(b-a)+2b(a+d)
=a.(c-d)+3b.(c-d)-3a.(b+c)+d.(b+c)-2bc+2ac+2ab+2bd
=ac-ad+3bc-3bd-3ab-3ac+bd+cd-2bc+2ac+2ab+2bd
=(-3ab+2ab)+(3bc-2bc)+(ac-3ac+2ac)-ad+(-3bd+bd+2bd)+cd
=-ab+bc-ad+cd
\(B-15=C+15\Rightarrow B=C+30\)
\(\Rightarrow A-B-C=A-\left(C+30\right)-C=A-Cx2-30=2\)
\(A=32+Cx2\)
\(\Rightarrow A+B+C=\left(32+Cx2\right)+\left(C+30\right)+C=110\)
\(Cx4+62=110\)
\(Cx4=110-62=48\)
\(C=48:4=12\)
\(A=32+2x12=56\)
\(B=12+30=42\)