b: \(\Leftrightarrow\dfrac{x-2}{A}=\dfrac{\left(5x-1\right)\left(x-2\right)}{x^2\left(5x-1\right)+3\left(5x-1\right)}=\dfrac{x-2}{x^2+3}\)
hay \(A=x^2+3\)
thực hiện phép tính :
a) A= \(\dfrac{x^2-2x}{x^2+x-6}\times\dfrac{x^2-9}{x^2-3x}\)
b) B=\(\dfrac{2x^2+5x-3}{x^2-9}\times\dfrac{4x^2-1}{x^2-6x+9}\)
Tính :
a)\(\left(2x^4-5x^3+2x^2+2x-1\right):\left(x^2-x-1\right)\)
b)\(\left(2x^3-5x^2+6x-15\right)\left(2x-5\right)\)
c)\(\left(x^4-2x^3+5x-6\right):\left(x-3\right)\)
Tìm a : (\(x^3-5x^2-4x+a\)):\(\left(x+3\right)\)
b)\(\left(x^4-x^3+6x^2-x-a\right):\left(x^2-x+5\right)\)
thực hiện phép tính
a)\(\dfrac{4x+2}{3x^2-x}:\dfrac{x^2+3x}{1-3x}\)
b)\(\dfrac{4x+6y}{x-1}:\dfrac{4x^2-12xy+9y^2}{1-x^2}\)
c) \(\dfrac{x^4-xy^3}{2xy+y^2}:\dfrac{x^3+x^2y+xy^2}{2x+y}\)
thực hiện phép tính
a)\(\dfrac{2x^2-20x+50}{3x+3}\times\dfrac{x^2-1}{4\left(x-5\right)^2}\)
b) \(\dfrac{6x-3}{5x^2+x}\times\dfrac{25x^2+10x+1}{1-8x^3}\)
c) \(\dfrac{3x^2-x}{x^2-1}\times\dfrac{1-x^4}{\left(1-3x\right)^3}\)
Rút gọn biểu thức
B=\(\left(\dfrac{x}{x^2-25}-\dfrac{x-5}{x^2+5x}\right):\dfrac{2x-5}{x^2+5x}+\dfrac{x}{5-x}\)
Phân tích thành nhân tử :
1) ( x2 + 2x - 2 ) ( x2 + 2x + 3 ) - 6 .
2) ( x2 - 4x + 6 ) ( x2 - 4x + 8 ) - 8 .
thực hiện phép tính
a)\(\dfrac{x^3}{x^2+1975}\times\dfrac{2x+1954}{x+1}+\dfrac{x^3}{x^2+1975}\times\dfrac{21-x}{x+1}\)
b)\(\dfrac{19x+8}{x-7}\times\dfrac{5x-9}{x+1945}+\dfrac{19x+8}{x^2+1945}\times\dfrac{1x-2}{x-7}\)
c) \(\dfrac{x+1}{x^2-2x-8}\times\dfrac{4-x}{x^2+x}\)
phân tích thanhf nhần tử
a) 2x^2 - 2
b) x^3 - 3x^2 - 4x + 12
