b: \(\dfrac{x}{x-3}+\dfrac{9-6x}{x^2-3x}\)
\(=\dfrac{x^2-6x+9}{x\left(x-3\right)}\)
\(=\dfrac{x-3}{x}\)
a: \(\dfrac{x}{2x-2}+\dfrac{x^2+1}{2-2x^2}\)
\(=\dfrac{x}{2\left(x-1\right)}-\dfrac{x+1}{2\left(x-1\right)\left(x+1\right)}\)
\(=\dfrac{x^2+x-x-1}{2\left(x-1\right)\left(x+1\right)}\)
\(=\dfrac{1}{2}\)
a)4/x+2+2/x-2+5x-6/4-x2 ; b)1-3x/2x+3x-2/2x-1+3x-2/2x-4x2 ; c)1/x2+6x+9+1/6x-x2-9+x/x2-9
làm phép chia :
a) (x^4 -2x^3 + 2x -1) : (x^2 - 1)
b) (x^3 -8) : (x^2 + 2x +4)
c) (x^6 - 2x^5 + 2x^4 + 6x^3 - 4x^2)n: 6x^2
d) (-2x^5 + 3x^2 - 4x^3) :2x^2
e) (15x^3 - 10x^2 + x - 2) : (x - 2)
f) (2x^4 - 3x^3 - 3x^2 + 6x - 2) : (x^2 - 2)
Tìm x
a.(x+2).(x+3)-(x-2).(x+5) = 0
b. (2x+3).(x-4)+(x-5)(x+2) = (3x-5)(x-4)
c. (3x+2)(2x+9)-(x+2)(6x+1) = x+1-(x-6)
d. 3( 2x-1).(3x-1)-(2x-3).(9x-1)=0
P)(9-x)(x^2+2x-3) n)(-x+3)(x^2+x+1) O)(-6x+1/2)(x^2-4x+2) q)(6x+1)(x^2-2x-3) r)(2x+1)(-x^2-3x+1) U)(2x-3)(-x^2+x+6) s)(-4x+5)(x^2+3x-2) V)(-1/2x+3)(2x+6-4x^3)
B1: quy đồng mẫu số các phân thức:
a. 5/ 6x^2y ; 7/ 12xy^2 ; 11/ 18xy
b. 4x+2/ 15x^3y ; 5y - 3/ 9x^2y ; x+1/5xy^3
c. 3/2x ; 3x-3/2x-1 ; 3x-2/2x- 4x^2
d. x^3 + 2x / x^3+1 ; 2x/ x^2 - x +1 ; 1/ x+1
e. y/ 2x^2 - xy ; 4x/ y^2 - 2xy
f. 1/x+2 ; 3/ x^2 - 4 ; x-14/ ( x^2 + 4x + 4 ) (x-2)
g. 1/x+2 ; 1/ (x+2)(4x+7) ;
h. 1/x+3 ; 1/ (x+3)(x+2) ; 1/ (x+2)(4x+7)
B2: dùng quy tắc đổi dấu để tìm mẫu thức chung :
a.4/ x+2 ; 2/x-2 ; 5x-6/4-x^2
b. 1-3x/2x ; 3x-2/2x-1 ; 3x-2/2x-4x^2
c. 1/ x^2 + 6x + 9 ; 1/ 6x-x^2-9 ; x/ x^2 -9
d. x^2 + 2/ x^3 - 1 ; 2/ x^2 + x +1 ; 1/ 1-x
e. x/ - 2y ; x/ x+2y ; 4xy/ 4y^2 - x^2
Ai làm xong trước mình tick nha!
phân tích đa thức thành nhân tử
\(a)3x^3+6x^2y \)
\(b)2x^3-6x^2\)
\(c)18x^2-20xy\)
\(d)xy+y^2-x-y \)
\(e)(x^2y^2-8)^2-1\)
\(f)x^2-7x-8\)
\(g)10x^2(2x-y)+6xy(y-2x)\)
\(h)x^2-2x+1-y^2\)
\(i)2x(x+2)+x^2(-x-2)\)
\(k)-9+6x-x^2\)
\(l)8xy-2x^2-8y^2\)
\(m)3x^2+5x-3y^2-5y\)
a,(3x - 1)(x + 3) = (2 - x)(5 - 3x)
b,(x + 5)(2x - 1) = (2x - 3)(x + 1)
c,(x + 1)(x + 9) = (x + 3)(x + 5)
d,(3x + 5)(2x + 1) = (6x - 2)(x - 3)
e,(x + 2)2 + 2(x - 4) = (x - 4)(x - 2)
f,(x + 1)(2x - 3)-(3x - 2) = 2(x - 1)2
Bài 1: Rút gọn biểu thức
a. (6x+1).(x+2) - 2x.(3x-5)
b.(2x-1)2 - (2x-3).(2x+3)
c. (2x-3)3 - (3x+1) . (5-4x) - 16x2
d. (3x+2) - (x-5)- - x(3x - 13)
e. (5x+1).(x-2)-x.(5x-9)
g. x(x+3)2 -(x+2).(x2 - 2x+7) - 6x2
Tìm x:
a) (3x+2).(x-1)-(x+2).(3x+1)=7
b) (6x+5).(2x+3)-(4x+3).(3x-2)=8
c) 2x.(x+3)-(x+1).(2x+1)-5=9
d) (5x+3).(4x-7)-(10x+9).(2x-3)=10
