Tìm x
a)\(\left(x-1\right)^3+\left(2x+3\right)^3=27x^3+8\)
b)\(\left(x+1\right)^2\left(x+2\right)+\left(x-1\right)^2\left(x-2\right)=12\)
Tính
a)\(2x\left(x^2-5x-1\right)+\left(3x-1\right)x\)
b)\(\left(2x^3yz-7x^2yz\right)\left(-5xyz\right)+\left(x^2y^2z+xy^2z\right)4x^2z\)
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) \(\left(\dfrac{1}{x^2+x}-\dfrac{2-x}{x+1}\right):\left(\dfrac{1}{x}+x-2\right)\)
Tính và thu gon:
\(\left(2x+1\right)^2-\left(4x-3\right)\left(x+7\right)-22\)
\(69x\left(3x^2-5x\right)-\left(3x+1\right)\left(9x^2-18x-1\right)\)
\(\left(1-2x\right)^3-4x^2\left(3-2x\right)+24x^2\)
\(\left(24x^2y^2z-36x^2y^2z^2-12x^2y^3z\right):12x^2yz\)
Thực hiện phép tính
a, \(A=\left(3x^2y-11x^2-5y\right)\left(8xy-5x+6\right)\)
b,\(B=\left(-4x^2y-5x^2+3y^2\right)\left(2x^2-xy+3y^2\right)\)
c,\(C=5\left(2x-1\right)^2+4\left(x-1\right)\left(x+3\right)-2\left(3x-1\right)\left(3x+1\right)\)
thực hiện phép tính
a) \(\left(x-7\right)\left(x+5\right)\)
b) \(\left(xy-1\right)\left(xy+5\right)\)
c) \(\left(x^3-2x^2+x-1\right)\left(5-x\right)\)
Phân tích các biểu thức sau thành nhân tử:
1) A=\(x^2y+xy^2+x^2z+xz^2+y^2z+yz^2+2xyz\)
2) B=\(x^2y+xy^2+x^2z+xz^2+y^2z+yz^2+3xyz\)
3) C=\(yz\left(y+z\right)+zx\left(z-x\right)-xy\left(x+y\right)\)
4) D=\(2a^2b+4ab^2-a^2c+ac^2-4b^2c+2bc^2-4a^2c\)
5) \(E=y\left(x-2z\right)^2+8xyz+x\left(y-2z\right)^2-2z\left(x+y\right)^2\)
6)F=\(8x^3\left(y+z\right)-y^3\left(z+2x\right)-z^3\left(2x-y\right)\)
LÀM ĐƯỢC CÂU NÀO THÌ LÀM NHÉ, KO CẦN THIẾT PHẢI LÀM HẾT ĐÂU!
Phân tích đa thức thành nhân tử :
a) \(5x^3z-10x^2z-5xz^3-5xy^2z-5xz+10xyz^2\)
b) \(x^2y^2\left(y-x\right)+y^2z^2\left(z-y\right)-z^2x^2\left(z-x\right)\)
c) \(x^2y+xy^2+x^2z+xz^2+y^2z+2xyz\)
Bài 2 . Thực hiện phép tính
a)\(6x^3\)\(\left(\dfrac{1}{3}x^2-\dfrac{5}{2}-\dfrac{1}{6}\right)\)\(-2x^5\)\(-x^3\)
b)\(\left(x-3\right)\left(x^2+3x-2\right)\)
c)\(\left(4x^3-4x^2-5x+4\right):\left(2x+1\right)\)
Cho các số thực x,y,z đôi 1 khác nhau và x+y+z=0 tính giá trị
P=\(\frac{\left(4yz-x^2\right)\left(4zx-y^2\right)\left(4xy-z^2\right)}{\left(yz+2x^2\right)\left(zx+2y^2\right)\left(xy+2z^2\right)}\)