Phân tích các đa thức sau thành nhân tử.
a/ 3a +3b – a^2 – ab
b/ x2^ + x + y^2 – y – 2xy
c/ - x^2 + 7x – 6
d/ 5x^3y – 10x^2y^2 + 5xy^3
e/ 2x2+7x – 15
g/ x^2 -2x+2y-xy
h/ x +4x 16 +4 - 16+4y^2
Thực hiện phép tính:
a) \(\dfrac{2}{5}xy\left(x^2y-5x+10y\right)\)
b) \(\left(x^2-1\right)\left(x^2+2x+y\right)\)
c) \(\left(x+3y\right)^2\)
d) \(\left(4x-y\right)^3\)
e) \(\left(x^2-2y\right)\left(x^2+2y\right)\)
g) \(18x^4y^2z:10x^4y\)
h) \(\left(x^3y^3+\dfrac{1}{2}x^2y^3-x^3y^2\right):\dfrac{1}{3}x^2y^2\)
i) \(\left(6x^3-7x^2-x+2\right):\left(2x+1\right)\)
k) \(\dfrac{5x-1}{3x^2y}+\dfrac{x+1}{3x^2y}\)
l) \(\dfrac{3x+1}{x^2-3x+1}+\dfrac{x^2-6x}{x^2-3x+1}\)
m) \(\dfrac{2x+3}{10x-4}+\dfrac{5-3x}{4-10x}\)
n) \(\dfrac{x}{x^2+2x+1}+\dfrac{3}{5x^2-5}\)
o) \(\dfrac{x^2+2}{x^3-1}+\dfrac{2}{x^2+x+1}+\dfrac{1}{1-x}\)
p) \(\dfrac{4x+2}{15x^3y}\dfrac{5y-3}{9x^2y}+\dfrac{x+1}{5xy^3}\)
q) \(\dfrac{2x-7}{10x-4}-\dfrac{3x+5}{4-10x}\)
r) \(\dfrac{3}{2x+6}-\dfrac{x-6}{2x^2+6x}\)
x) \(\dfrac{4y^2}{11x^4}.\left(-\dfrac{3x^2}{8y}\right)\)
y) \(\dfrac{x^2-4}{3x+12}.\dfrac{x+4}{2x-4}\)
z) \(\left(x^2-25\right):\dfrac{2x+10}{3x-7}\)
t) \(\left(\dfrac{2x+1}{2x-1}-\dfrac{2x-1}{2x+1}\right):\dfrac{4x}{10x-5}\)
w) \(\left(\dfrac{1}{x^2+x}-\dfrac{2-x}{x+1}\right):\left(\dfrac{1}{x}+x-2\right)\)
PP nhóm hạng tử chung
1)2x+2y-x(x+y)
2)5x^2-5xy-10x+10y
3)4x^2+8xy-3x-6y
4)2x^2+2y^2-x^2z+z-y^2z-2
5)x^2+xy-5x-5y
6)x(2x-7)-4x+14
7)x^2-3x+xy-3y
A = \(\dfrac{5xy^2-3z}{3xy}+\dfrac{4x^2y+3z}{3xy}\)
B = \(\dfrac{3y+5}{y-1}+\dfrac{-y^2-4y}{1-y}+\dfrac{y^2+y+7}{y-1}\)
C = \(\dfrac{6x}{x^2-9}+\dfrac{5x}{x-3}+\dfrac{x}{x+3}\)
D = \(\dfrac{1-3x}{2x}+\dfrac{3x-2}{2x-1}+\dfrac{3x-2}{2x-4x^2}\)
E = \(\dfrac{x^3+2x}{x^3+1}+\dfrac{2x}{x^2-x+1}+\dfrac{1}{x+1}\)
a)5x^3y-10x^2y^2+5xy^3
b)2x^2+7x-15
c)x^2-2x=2y-xy
d)x^2+4xy-16+4y^2
Bài 1: Thực hiện các phép tính sau:
a)-2xy^2(x^3y-2x^2y^2+5xy^3)
b)(-2x)(x^3-3x^2-x+1)
c)(-10x^3+2/5y-1/3z)(-1/2zy)
d)3x^2(2x^3-x+5)
e)(4xy+3y-5x)x^2y
f)(3x^2y-6xy+9x)(-4/3xy)
3x2-6xy+3y2 : 10x - 10y
5x2-5xy+5y : x3 + y3
bài 1: Tính giá trị của biểu thức
A=\(15x^4y^3z^2:5xy^2z^2\)tại \(x=2,y=-10,z=2004\)
B=\(10x^4y^2z^3:2x^2yz\)tại \(x=1,y=2,z=3\)
C=\(20x^3y^5z^3:5x^3y^3z\)tại \(x=1,234,y=18,z=-\frac{1}{12}\)
D=\(\left(12x^3y-12x^2y^2+3xy^3\right):3xy^3\)tại \(x=-\frac{12}{2},y=7\)
E=\(\left(-48x^2y^2+32xy^4z-6xy^2\right):\left(-24xy^2\right)\)tại \(x=1,y=2,z=3\)