\(=\left(2x+3\right)^2+2\left(2x+3\right)\left(x-3\right)+\left(x-3\right)^2\)
\(=\left(2x+3+x-3\right)^2\)
\(=9x^2\)
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Chủ đề 1: Thực hiện phép tính1) (2x+3).(2x-3)-4x.(x+5) 2) 6/x2 - 9 + 5/x-3 + 1/x+3 3)5x.(x-3)+(x-2)24) 4x/x+2 - 3x/x-2 + 12x/ x2 - 45) x(x+2) - ( x-3)(x+3)6) 1/3x-2 + -4/3+2 + 6-3x/9x2 - 47)2x.(3x-1)+(x+2)2 8) 6/x+3 - 6/x-3 + 9x+9/x2 - 99) (2x - 5)2 - x(4x-13)10) x-1/x + 4/x+8 + 8/x2 + 8x11) (2x+1)2 + (x-5)(x+5)-x(5x+7)12) 6/x2-9 + 5/x-3 + 1/x+313) 6x(5x-2)+(2x+3)214) x/x-2 + -2/x-3 + x(1-x)/x2-915) (x-2)2-x(x+5)16) 2/x+3 + 3/x-3 + -6/x2-917) 3x(x-3) + (3x-1)2
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Chủ đề 1: Thực hiện phép tính
1) (2x+3).(2x-3)-4x.(x+5)
2) 6/x2 - 9 + 5/x-3 + 1/x+3
3)5x.(x-3)+(x-2)2
4) 4x/x+2 - 3x/x-2 + 12x/ x2 - 4
5) x(x+2) - ( x-3)(x+3)
6) 1/3x-2 + -4/3+2 + 6-3x/9x2 - 4
7)2x.(3x-1)+(x+2)2
8) 6/x+3 - 6/x-3 + 9x+9/x2 - 9
9) (2x - 5)2 - x(4x-13)
10) x-1/x + 4/x+8 + 8/x2 + 8x
11) (2x+1)2 + (x-5)(x+5)-x(5x+7)
12) 6/x2-9 + 5/x-3 + 1/x+3
13) 6x(5x-2)+(2x+3)2
14) x/x-2 + -2/x-3 + x(1-x)/x2-9
15) (x-2)2-x(x+5)
16) 2/x+3 + 3/x-3 + -6/x2-9
17) 3x(x-3) + (3x-1)2
giải phương trình
a.\(\left(2x-3\right)^2=\left(2x-3\right)\left(x+1\right)\)
b.\(x\left(2x-9\right)=3x\left(x-5\right)\)
c.\(3x-15=2x\left(x-5\right)\)
d.\(\dfrac{5-x}{2}=\dfrac{3x-4}{6}\)
e.\(\dfrac{3x+2}{2}-\dfrac{3x+1}{6}=2x+\dfrac{5}{3}\)
Giải pt : a) 2/-x2+6x-8 - x-1/x-2 = x+3/x-4
b) 2/x3-x2-x+1 = 3/1-x2 - 1/x+1
c) x+2/x-2 - 2/x2-2x = 1/x
d) 5/-x2+5x-6 + x+3/2-x = 0
e) x/2x+2 - 2x/x2-2x-3 = x/6-2x
f) 1/x-1 - 3x2/x3-1 = 2x/x2+x-1
Bài 1. Giải các phương trình sau bằng cách đưa về dạng ax + b 0:1. a) 5 – (x – 6) 4(3 – 2x) b) 2x(x + 2)2 – 8x2 2(x – 2)(x2 + 2x + 4) c) 7 – (2x + 4) – (x + 4) d) (x – 2)3 + (3x – 1)(3x + 1) (x + 1)3 e) (x + 1)(2x – 3) (2x – 1)(x + 5) f) (x – 1)3 – x(x + 1)2 5x(2 – x) – 11(x + 2) g) (x – 1) – (2x – 1) 9 – x h) (x – 3)(x + 4) – 2(3x – 2) (x – 4)2 i) x(x + 3)2 – 3x (x + 2)3 + 1 j) (x + 1)(x2 – x + 1) – 2x x...
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Bài 1. Giải các phương trình sau bằng cách đưa về dạng ax + b = 0:
1. a) 5 – (x – 6) = 4(3 – 2x) b) 2x(x + 2)2 – 8x2 = 2(x – 2)(x2 + 2x + 4)
c) 7 – (2x + 4) = – (x + 4) d) (x – 2)3 + (3x – 1)(3x + 1) = (x + 1)3
e) (x + 1)(2x – 3) = (2x – 1)(x + 5) f) (x – 1)3 – x(x + 1)2 = 5x(2 – x) – 11(x + 2)
g) (x – 1) – (2x – 1) = 9 – x h) (x – 3)(x + 4) – 2(3x – 2) = (x – 4)2
i) x(x + 3)2 – 3x = (x + 2)3 + 1 j) (x + 1)(x2 – x + 1) – 2x = x(x + 1)(x – 1)
2. a) 
b) 
c) 
d) 
e) 
f) 
g) 
h) 
i) 
k) 
m) 
n) 
a) dfrac{4x}{x^2+2x}+dfrac{8}{x^2+2x} b) dfrac{2x-3x}{x-2}-dfrac{2x-4}{x-2} c) dfrac{2x-1}{x+3}-dfrac{3x+2}{x+3}d) dfrac{11x}{2x-3}-dfrac{18-x}{2x-3}e) dfrac{3left(x-2right)}{2x+1}-dfrac{9x-3}{2x+1}
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a) \(\dfrac{4x}{x^2+2x}\)+\(\dfrac{8}{x^2+2x}\)
b) \(\dfrac{2x-3x}{x-2}\)-\(\dfrac{2x-4}{x-2}\)
c) \(\dfrac{2x-1}{x+3}\)-\(\dfrac{3x+2}{x+3}\)
d) \(\dfrac{11x}{2x-3}\)-\(\dfrac{18-x}{2x-3}\)
e) \(\dfrac{3\left(x-2\right)}{2x+1}\)-\(\dfrac{9x-3}{2x+1}\)
Bài 1: Tính:
a) x^2-9/2x+6 : 3-x/2
b) 2x/x-y - 2y/x-y
c) x+15/x^2-9 + 2/x+3
d)x+y/2x+2y - x-y/2x+2y - y^2+x^2/y^2-x^2
Bài 2: Rút gọn:
a) x^3-x/3x+3
b) x^2+3xy/x^2-9y^2
Bài 3: Thực hiện phép tính:
a) x/x-3 + 9-6x/x^2-3x
b) 6x-3/x : 4x^2-1/3x^2
Thực hiện phép tính (các bạn ơi giúp mình nhé :((( mai mình thi rồi)
1/ 4x2 . (5x3 + 2x - 1)
2/ 4x3y2 : x2
3/ (15x2y3 - 10x3y3 + 6xy) : 5xy
4/ (5x3 + 14x2 + 12x + 8) : (x + 2)
5/ 7/2x + 11/3y2
6/ x/x+2 + 3/(x+2)(4x-7)
7/ 3/x-y - 2x2/x+y
8/ (1/2) x2y2 . (2x+y) (2x-y)
9/ (x-1/2) (x+1/2) (4x-1)
10/ 3x/2x+6 + 6-x/2x2+6x
11/ x2-1/2x-2 + 3x+3/1-x2
12/ x2/x2-y2 - xy/x2-y2
13/ 2/2x-3 + x/x-1 - 5x+3/2x2+3-5x
15/ (x-y) (x2+xy+y2) + 2y3 : y3
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Thực hiện phép tính (các bạn ơi giúp mình nhé :((( mai mình thi rồi)
1/ 4x2 . (5x3 + 2x - 1)
2/ 4x3y2 : x2
3/ (15x2y3 - 10x3y3 + 6xy) : 5xy
4/ (5x3 + 14x2 + 12x + 8) : (x + 2)
5/ 7/2x + 11/3y2
6/ x/x+2 + 3/(x+2)(4x-7)
7/ 3/x-y - 2x2/x+y
8/ (1/2) x2y2 . (2x+y) (2x-y)
9/ (x-1/2) (x+1/2) (4x-1)
10/ 3x/2x+6 + 6-x/2x2+6x
11/ x2-1/2x-2 + 3x+3/1-x2
12/ x2/x2-y2 - xy/x2-y2
13/ 2/2x-3 + x/x-1 - 5x+3/2x2+3-5x
15/ (x-y) (x2+xy+y2) + 2y3 : y3
Giai cac phuong trinh sau
1) (5x-4).(4x+6) 0
2) (4x-10).(24+5x) 0
3) (x-3).(2x+1) 0
4) (2x+1).(x2+2) 0
5) (x2+4).(7x-3) 0
6) (x-5).(3-2x).(3x+4) 0
7) (x-2).(3x+5) (2x-4).(x+1)
8) (2x+5).(x-4) (x-5).(4-x)
9) 9x2-1 (3x+1).(2x-3)
10) (2x-1)2 49
11) (5x-3)2 - (4x-7)2 0
12) (2x+7)2 9.(x+2)2
Giúp mình giải gấp .Cám ơn
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Giai cac phuong trinh sau
1) (5x-4).(4x+6) = 0
2) (4x-10).(24+5x) = 0
3) (x-3).(2x+1) = 0
4) (2x+1).(x2+2) = 0
5) (x2+4).(7x-3) = 0
6) (x-5).(3-2x).(3x+4) = 0
7) (x-2).(3x+5) = (2x-4).(x+1)
8) (2x+5).(x-4) = (x-5).(4-x)
9) 9x2-1 = (3x+1).(2x-3)
10) (2x-1)2 = 49
11) (5x-3)2 - (4x-7)2 = 0
12) (2x+7)2 = 9.(x+2)2
Giúp mình giải gấp .Cám ơn
Dạng 1: Rút gọn biểu thức
1:3x(x-2)-5x(1-x)-8(x^2-3)
2:(4x-5)(2x+3)-4(x+2)(2x-1)+10x+7
3:(6x+1)^2+(6x-1)^2-2(1+6x)(6x-1)
4: (x^2-2x+2)(x^2-2)(x^2+2x+2)(x^2+2)
5: (x+1)^3+(x-1)^3+x^3-3x(x+1)(x-1)
6:3(2^2+1)(2^4+1)........(2^64+1)+1
Chứng minh biểu thức sau không phụ thuộc vào biến x,y:
A= (3x - 5)(2x + 11) - (2x + 3)(3x + 7)
B = (2x + 3)(4x 2 - 6x + 9) - 2(4x 3 - 1)
C = (x - 1) 3 - (x + 1) 3 + 6(x + 1)(x - 1)