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Rút gọn
a, \(\dfrac{-x^2+2xy-y^2}{x^2-xy}\)
b, \(\dfrac{x^4-1}{2x-2}\)
Rút gọn biểu thức:
a) \(\dfrac{3x+21}{x^2-9}+\dfrac{2}{x+3}-\dfrac{3}{x-3}\)
b) \(\dfrac{3x+1}{\left(x-1\right)^2}-\dfrac{1}{x+1}+\dfrac{x+3}{1-x^2}\)
rút gon 3x(x+1).(x-1)-(x^2-1).(x^4+x^2+1)+(x^2-1)^3
Bài 1:Thực hiện phép tính
a,(5-2x)(x+3)-4x(x+2) b,(3x+1)(x-3)-4(x+2)(x-2)
c,3(x-4)(x+3)+(x-5)(x+3) d,2x(x-4)+(3x-1)(2x-5)
Bài 2:Tìm x biết
a,5x(x+3)-(5x+2)(x+3)=7
b,(3x-1)(3x+2)-9(x+2)(x-2)=10
c,(x+1)(2x-5)+2(3-x)(x+2)=7
d,(1-3x)(x+2)+3x(x-5)=8
rút gọn phân thức sau:
\(\frac{36.\left(x-2\right)}{32-16.x}\)
\(\frac{3.x^2-12.x+12}{x^4-8.x}\)
\(\frac{7.x^2+14.x+7}{3x^2+3x}\)
\(\frac{x^4-5.x^2+4}{x^4-10x^2+9}\)
\(\frac{x^4+x^3+x+1}{x^4-x^3+2.x^2-x+1}\)
bài 1 rút gọn biểu thức
a) (2x-5)^2-4x(x+3)
b) (x-2)^3 -6(x+4)(x-4)-(x-2)(x^2+2x+4)
c)(x-1)^2-2(x-1)(x+2)+(x+2)^2+5(2x-3)
bài 2 rút gọn biểu thức
a)(2-3x)^2-5x(x-4)+4(x-1)
b)(3-x)(x^2+3x+9)+(x-3)^3
c)(x-4)^2(x+4)-(x-4)(x+4)^2+3(x^2-16)
tìm x:
a) (2x+1)^2-4(x+2)^2=9
b)3(x-1)^2-3x(x-5)=21
c)(x+3)^2-(x-4)(x+8)=1
d)3(x+2)^2+(2x-1)^2=7(x+3)(x-3)=36
e)(x-1)(x^2+x+1)-x(x+2)(x-2)=5
f)(x-1)^3 -(x+3)(x^2-3x+9)+3(x^3-4)=2
Bài 2: Tìm x biết:
1,x\(^2\)+4x+4=25
2,(5-2x)\(^2\)-16=0
3,(x-3)\(^3\)-(x-3)(x\(^2\)+3x+9)+9(x+1)\(^2\)=15
4,3(x+2)\(^2\)+(2x-1)\(^2\)-7(x-3)9x+3)=36
5,(x-3)(x\(^2\)+3x+9)+x(x+2)(2-x)=1
6,(2x+1)\(^2\)-4(x+2)\(^2\)=9
7,(x+3)\(^{^{ }2}\)-(x-4)(x+8)=1
1: 3/x+1 + 2/x+2 = 5x+4/x2+ 3x + 2
2: 2/3x + 1 - 15/6x2-x-1 = 3/2x - 1
3: 9/3x - 1 - 5-x/3x2-4x+1 = 4/x+ 1
4:5/x - 2 + 2/x+4 = 3x/x2 + 2x - 8
5: 4/x+6 + 1/x - 3 = 9/x2 + 3x - 18
6:x/x-3 - 2x2 +9/2x2 - 3x - 9= 1/2x + 3
