ĐKXĐ : \(x\ne-1,x\ne5\)
Ta có : \(\frac{2x^2-20x+50}{3x+3}\cdot\frac{x^2-1}{4\left(x-5\right)^2}\)
\(=\frac{2\left(x^2-10x+25\right)}{3\left(x+1\right)}\cdot\frac{\left(x+1\right)\left(x-1\right)}{4\left(x-5\right)^2}\)
\(=\frac{2\left(x-5\right)^2}{3\left(x+1\right)}\cdot\frac{\left(x+1\right)\left(x-1\right)}{4\left(x-5\right)^2}\)
\(=\frac{x-1}{6}\)
Tìm x :
\(3x\cdot\left(x-2\right)-2x\cdot\left(2x-1\right)=\left(1-x\right)\cdot\left(1+x\right)\)
\(\left(5x+3\right)\cdot\left(3x-5\right)-\left(x-2\right)\cdot\left(2x+1\right)=6x\cdot\left(3x+1\right)-x^2\)
\(\left(2x-1\right)\cdot\left(2x+1\right)-3\cdot\left(x-1\right)=\left(1-4x\right)\cdot\left(1-x\right)\)
\(\left(2x^2+1\right)\cdot\left(3x^2-1\right)-\left(4x^2-3\right)\cdot\left(x^2+1\right)=x\cdot\left(2x^3+1\right)\)
GIÚP MK ĐI MAI MK PHẢI NỘP RÙI !
Thực hiện phép tính , rút gọn bt
\(\dfrac{2x+y}{2x^2-xy}+\dfrac{16x}{y^2-4x^2}+\dfrac{2x-y}{2x^2+xy}\)
\(\dfrac{x+y}{2\left(x-y\right)}+\dfrac{2}{x^2+3}+\dfrac{1}{x+1}\)
1/ Thực hiện phép nhân :
a) x2 ( 5x3 - x - \(\dfrac{1}{2}\))
b) ( 3xy - x2 + y ) \(\dfrac{2}{3}\)x2y
c) x2 ( 4x3 - 5xy + 2x ) ( -\(\dfrac{1}{2}\) xy )
2/ Tìm x, biết
a) 3x( 12x - 4 ) - 9x (4x - 3 ) = 30
b ) x( 5 - 2x ) + 2x ( x - 1 )= 15
1/ Thực hiện phép tính:
a/ x2(x - 2x3)
b/(x2+1).5x
c/(x-2)(x2+2x+4)
d/ (x - 2)(x2+2x+4)
e/ (x2 - 1)(x2+ 1)
f) (2x-1)(3x + 2)(3 - x)
thực hiện phép tính
a/ \(\left(x-2\right)^3-x\left(x+1\right)\left(x-1\right)+6x\left(x-3\right)\)
b/ \(\left(x-2\right)\left(x^2-2x+4\right)\left(x+2\right)\left(x^2+2x+4\right)\)
P=\(\left(\frac{2+x}{2-x}-\frac{4x^2}{x^2-4}-\frac{2-x}{2+x}\right):\frac{x^2-3x}{2x^2-x^3}\)
a,Rút gọn
b,Tính P khi x=4
c Tìm x đẻ P ∈ z
Chứng tỏ rằng các đa thức sau không phụ thuộc vào biến:
a) \(x\left(2x+1\right)-x^2\left(x+2\right)+\left(x^3-x+3\right)\)
b) \(4\left(x-6\right)-x^2\left(2+3x\right)+x\left(5x-4\right)+3x^2\left(x-1\right)\)
c) \(\left(x^2+2x+3\right)\left(3x^2-2x+1\right)-3x^2\left(x^2+2\right)-4x\left(x^2-1\right)\)
Rút gọn:
\(A=\left(\dfrac{1+2x}{4+2x}-\dfrac{x}{3x-6}+\dfrac{2x^2}{12-3x^2}\right)\cdot\dfrac{24-12x}{6+13x}\)
\(\left(\frac{1}{x-1}+\frac{3\sqrt{x}+5}{x\sqrt{x}-x-\sqrt{x}+1}\right)\left[\frac{\left(\sqrt{x}+1\right)^2}{4\sqrt{x}}-z\right]\)
