Bài 1: rút gọn
a, (2x-1)^2 +4(x-1) (x+3)-2(5-3x)^2
b, (2a^2+2a+1)(2a^2-2a+1)-(2a^2+1)^2
c, (9x-1)^2+(1-5x)^2+2(9x-1)(1-5x)
d, (x^2+5x-1)^2+2(5x-1)(x^2-5x+1)+(5x-1)^2
e, x(x-1)(x+1)-(x+1)(x^2-x+1)
f, x(x+4)(x-4)-(x^2+1)(x^2-1)
Những câu hỏi liên quan
Rút gọn biểu thức:
a, 5.(2x-1)2+4.(x-1).(x+3)-2.(5-3x)2
b, (2a2+2a+1).(2a2-2a+1)-(2a2+1)2
c, (9x-1)2+(1-5x)2+2.(9x-1).(1-5x)
Rút gọn biểu thức:
a, 5.(2x-1)2+4.(x-1).(x+3)-2.(5-3x)2
b, (2a2+2a+1).(2a2-2a+1)-(2a2+1)2
c, (9x-1)2+(1-5x)2+2.(9x-1).(1-5x)
Rút gọn biểu thức:
a, 5.(2x-1)2+4.(x-1).(x+3)-2.(5-3x)2
b, (2a2+2a+1).(2a2-2a+1)-(2a2+1)2
c, (9x-1)2+(1-5x)2+2.(9x-1).(1-5x)
Rút gọn
B 5(2x-1)2+ 4(x-1)(x+3) - 2(5-3x)2
C (2a2 +2a+1) (2a2 -2a+1) -(2a+1)2
D (9x-1)2 +(1-5x)2 +2(9x-1)(1-5x)
E (x2 -5x+1)2 +2(5x-1)(x2 -5x+1) (5x-1)2
F (a2+b2-c2 )2 - (a2-b2+c2)2
G (a+b+c)2 + ( a+b-c)2 - 2(a+b)2
H (a+c) (a-c) -(a-b-c) (a-b+c)+b(b-2x)
Đọc tiếp
Rút gọn
B= 5(2x-1)2+ 4(x-1)(x+3) - 2(5-3x)2
C= (2a2 +2a+1) (2a2 -2a+1) -(2a+1)2
D= (9x-1)2 +(1-5x)2 +2(9x-1)(1-5x)
E= (x2 -5x+1)2 +2(5x-1)(x2 -5x+1) (5x-1)2
F= (a2+b2-c2 )2 - (a2-b2+c2)2
G= (a+b+c)2 + ( a+b-c)2 - 2(a+b)2
H= (a+c) (a-c) -(a-b-c) (a-b+c)+b(b-2x)
1) \(B=5\left(2x-1\right)^2+4\left(x-1\right)\left(x+3\right)+2\left(5-3x\right)^2\)
\(=5\left(4x^2-4x+1\right)+\left(4x-4\right)\cdot\left(x+3\right)+2\left(25-30x+9x^2\right)\)
\(=20x^2-20x+5+4x^2+12x-4x-12+50-60+18x^2\)
\(=42x^2-72x+43\)
2) \(C=\left(2a^2+2a+1\right)\left(2a^2-2a+1\right)-\left(2a+1\right)^2\)
\(=4a^4-4a^3+2a^2+4a^3-4a^2+2a+2a^2-2a+1-\left(4a^2+4a+1\right)\)
\(=4a^4+2a^2-4a^2+2a^2+1-4a^2-4a-1\)
\(=4a^4-4a^2-4a\)
3) Sky Sơn Tùng làm đúng rồi nhé.
4) \(E=\left(x^2-5x+1\right)^2+2\left(5x-1\right)\left(x^2-5x+1\right)\left(5x-1\right)^2\)
\(=x^4+27x^2+1-10x^3+250x^5-1400x^4+1030x^3-302x^2+40x-2\)
\(=-1399x^4-275x^2-1+1020x^3+250x^5+40x\)
5) \(F=\left(a^2+b^2-c^2\right)^2-\left(a^2-b^2+c^2\right)^2\)
\(=\left[a^2+b^2-c^2-\left(a^2-b^2+c^2\right)\right]\cdot\left(a^2+b^2-c^2+a^2-b^2+c^2\right)\)
\(=\left(a^2+b^2-c^2-a^2+b^2-c^2\right)\cdot2a^2\)
\(=\left(2b^2-2c^2\right)\cdot2a^2\)
\(=2\left(b^2-c^2\right)\cdot2a^2\)
\(=2\left(b-c\right)\left(b+c\right)\cdot2a^2\)
\(=2\cdot2a^2\cdot\left(b-c\right)\left(b+c\right)\)
\(=4a^2\cdot\left(b-c\right)\left(b+c\right)\)
6) \(G=\left(a+b+c\right)^2+\left(a+b-c\right)^2-2\left(a+b\right)^2\)
\(=a^2+b^2+c^2+2ab+2ac+2bc+a^2+b^2+\left(-c\right)^2+2ab-2ac-2bc-2\left(a^2+2ab+b^2\right)\)
\(=a^2+b^2+c^2+2ab+a^2+b^2+\left(-c\right)^2+2ab-2a^2-4ab-2b^2\)
\(=0+0+c^2+0+c^2\)
\(=2c^2\)
7) \(H=\left(a+c\right)\left(a-c\right)-\left(a-b-c\right)\left(a-b+c\right)+b\left(b-2x\right)\)
\(=a^2-c^2-\left[\left(a-b\right)^2-c^2\right]+b^2-2bx\)
\(=a^2-c^2-\left(a^2-2ab+b^2-c^2\right)+b^2-2bx\)
\(=a^2-b^2-a^2+2ab-b^2+c^2+b^2-2bx\)
\(=2ab-2bx\)
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\(D=\left(9x-1\right)^2+\left(1-5x\right)^2+2\left(9x-1\right)\left(1-5x\right)=\left(9x-1+1-5x\right)^2=\left(4x\right)^2=16x^2\)
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Xem thêm câu trả lời
Rút gọn biểu thức:
a) ( x -5 )2 + ( 2x -1)2 - 3( x-1).(x+1)
b) ( 2a2 + 2a + 1) . ( 2a2 - 2a+1) - ( 2a2 + 1)2
c) ( 9x - 1)2 + ( 1-5x)2 + 2( 9x-1) . ( 1-5x)
Rút gọn các biểu thức sau:a) 5(2x-1)2+4(x-1)(x+3)-2(5-3x)2b) (2a2+2a+1)(2a2-2a+1)-(2a2-1)2c) (9x-1)2+(1-5x)2+2(9x-1)(1-5x)d) (x2-5x-1)2+2(5x-1)(x2-5x-1)+(5x-1)2e) (a2+b2-c2)2-(a2-b2+c2)2f) (a+b+c)2+(a-b+c)2+(a+b-c)2+(b+c-a)2g) (a+b+c)1+(a+b-c)2-2(a+b)2h) x(x-1)(x+1)-(x+1)(x2-x+1)i) 3x2(x+1)(x-1)-(x2-1)(x4+x2+1)+(x2-1)3j) (a+b+c)3+(a-b-c)3+(b-c-a)3+(c-b-a)3k) (a+b+c)3-(b+c-a)3-(c+a-b)3-(a+b-c)3
Đọc tiếp
Rút gọn các biểu thức sau:
a) 5(2x-1)2+4(x-1)(x+3)-2(5-3x)2
b) (2a2+2a+1)(2a2-2a+1)-(2a2-1)2
c) (9x-1)2+(1-5x)2+2(9x-1)(1-5x)
d) (x2-5x-1)2+2(5x-1)(x2-5x-1)+(5x-1)2
e) (a2+b2-c2)2-(a2-b2+c2)2
f) (a+b+c)2+(a-b+c)2+(a+b-c)2+(b+c-a)2
g) (a+b+c)1+(a+b-c)2-2(a+b)2
h) x(x-1)(x+1)-(x+1)(x2-x+1)
i) 3x2(x+1)(x-1)-(x2-1)(x4+x2+1)+(x2-1)3
j) (a+b+c)3+(a-b-c)3+(b-c-a)3+(c-b-a)3
k) (a+b+c)3-(b+c-a)3-(c+a-b)3-(a+b-c)3
cho mk hỏi 4 câu này làm thế nào vớia) 5.(2x-1)2+4.(x-1).(x+3-2).(5-3x)2b) (2a2+2a+1).(2a-2a-1).(2a2+1)c) (9x-1)2+(1+5x)2+1(9x-1).(1.5x)d) (x2-5x+1)+2.(5x-1).(x2-5x+1)+(5x-1)2cảm ơn trức nha :)
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cho mk hỏi 4 câu này làm thế nào với
a) 5.(2x-1)2+4.(x-1).(x+3-2).(5-3x)2
b) (2a2+2a+1).(2a-2a-1).(2a2+1)
c) (9x-1)2+(1+5x)2+1(9x-1).(1.5x)
d) (x2-5x+1)+2.(5x-1).(x2-5x+1)+(5x-1)2
cảm ơn trức nha :)
a) 5.(2x-1)2+4.(x-1).(x+3-2).(5-3x)2
=20x2-20x+5+36x4-120x3+64x2+120x-100
=36x4+(-20x+120x)+(5-100)+(64x2+20x2)-120x3
=36x4+100x-95+84x2-120x3
b,c,d bn tự tính nhé bậc cao qá nên khó tính
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RÚT GỌN CÁC BIỂU THỨC SAU 1 CÁCH NHANH NHẤT
A= (6x-2)^2 + (2-5x)^2+2(6x-2)(2-5x)
B= (2a^2+2a+1)(2a^2-2a+1)-(2a^2+1)^2
C=(x+3)(x^2-3x+9)-(54+x^3)
D=(2x+y)(4x^2-2xy+y^2)-(2x-y)(4x^2+2xy+y^2)
E=(a+b)^2-(a-b)^2
A= (6x-2)^2 + (2-5x)^2+2(6x-2)(2-5x)
= (6x-2)^2 +2(6x-2)(2-5x)+ (2-5x)^2
\(=\left(6x-2+2-5x\right)^2=x^2\)
B= (2a^2+2a+1)(2a^2-2a+1)-(2a^2+1)^2
\(=\left(2a^2+1\right)^2-4a^2-\left(2a^2+1\right)^2=4a^2\)
C=(x+3)(x^2-3x+9)-(54+x^3)
\(=\left(x^3+27\right)-54-x^3=27\)
D=(2x+y)(4x^2-2xy+y^2)-(2x-y)(4x^2+2xy+y^2)
\(=\left(2x+y\right)^3-\left(2x-y\right)^3\)
E=(a+b)^2-(a-b)^2
\(=\left(a+b+a-b\right)\left(a+b-a+b\right)=2a.2b=4ab\)
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Secret Personv: thật.CTV lạ z
\(C=\left(x+3\right)\left(x^2-3x+9\right)-\left(54+x^3\right)\)
\(=x^3-27-54-x^3=-81\)
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\(C=\left(x+3\right)\left(x^2-3x+9\right)-\left(54+x^3\right)\)
\(=x^3+27-54-x^3=-27\)
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Question Expandand simplify: 1. 8(x+5)-3(2x+7)
2. a(2b+c)+b(3c-2a)
3. 2y(y+5x)+x(3x+4y)
answer , 1. 8(x+5)-3(2x+7)=8x+40-6x+21=2x+61
2. a(2b+c)+b(3c-2a)=2ab+ac+3bc-2ab=ac+3bc=3abc^(2)
3. 2y(y+5x)+x(3x+4y)=2y^(2)+10xy+9x^(2)+4xy=9x^(2)+2y^(2)+14xy
a Explain what he has done wrong.
b work out the correct answer