Phân tích đa thức thành nhân tử:

a) \(x^4-5x^3+7x^2-6\)

b)\(\left(x^2-x+6\right)^2+\left(x-3\right)^2\)

c)\(3x^4-4x^3+6x^2-x-2\)

d)\(2x^4+x^3+6x^2-2x+3\)

e)\(3x^4-5x^3+x^2-2\)

f)\(x^4-10x^3+26x^2-10x+1\)

g)\(6x^4+5x^3-38x^2+5x+6\)

bài 1: Thực hiện các phép tính

a.\(\frac{4x-1}{3x^2y}-\frac{7x-2}{3x^2y}\)

b.\(\frac{4x+1}{2}-\frac{3x+2}{3}\)

c.\(\frac{5x^2-y^2}{xy}-\frac{3x-2y}{y}\)

d.\(\frac{3x}{5x+5y}-\frac{x}{10x-10y}\)

e. \(\frac{x+3}{x}-\frac{x}{x-3}+\frac{9}{x^2-3x}\)

f..\(\frac{x+3}{x^2-1}-\frac{1}{x^2+x}\)

g. \(\frac{1}{3x-2}-\frac{4}{3x+2}-\frac{-10x+8}{9x^2-4}\)

h.\(\frac{x+9y}{x^2-9y^2}-\frac{3y}{x^2+3xy}\)

i.\(\frac{3}{2x+6}-\frac{x-6}{2x^2+6x}\)

bài 1 : thực hiện các phép tính

a. \(\frac{4x-1}{3x^2y}-\frac{7x-1}{3x^2y}\)

b.\(\frac{4x+1}{2}-\frac{3x+2}{3}\)

c.\(\frac{5x^2-y^2}{xy}-\frac{3x-2y}{y}\)

d.\(\frac{3x}{5x+5y}-\frac{x}{10x-10y}\)

e.\(\frac{x+3}{x}-\frac{x}{x-3}+\frac{9}{x^2-3x}\)

f.\(\frac{x+3}{x^2-1}-\frac{1}{x^2+x}\)

g.\(\frac{1}{3x-2}-\frac{4}{3x+2}-\frac{-10x+8}{9x^2-4}\)

h.\(\frac{x+9y}{x^2-9y^2}-\frac{3y}{x^2+3xy}\)

i.\(\frac{3}{2x+6}-\frac{x-6}{2x^2+6x}\)

mấy chế ai biết giải thì giải dùm mik mấy bài nè vs.

Giải phương  trình: 

1)      \(\frac{1}{x^2+3x+2}+\frac{1}{x^2+5x+6}+\frac{1}{x^2+7x+12}=\frac{1}{6}\)

2)      \(\frac{1}{x^2-6x+8}+\frac{1}{x^2-10x+24}+\frac{1}{x^2-14x+48}=\frac{1}{9}\)

3)     \(\frac{1}{x^2-3x+3}+\frac{2}{x^2-3x+4}=\frac{6}{x^2-3x+5}\)

4)    \(\frac{6}{\left(x+1\right)\left(x+2\right)}+\frac{8}{\left(x-1\right)\left(x+4\right)}=1\)

5)   \(4\left(x^3+\frac{1}{x^3}\right)=13\left(x+\frac{1}{x}\right)\)

6)   \(\frac{4x}{4x^2-8x+7}+\frac{3x}{4x^2-10x+7}=1\)

7)     \(\frac{x^2-3x+5}{x^2-4x+5}-\frac{x^2-5x+5}{x^2-6x+5}=\frac{-1}{4}\)

8)       \(x\frac{8-x}{x-1}.\left(x-\frac{8-x}{x-1}\right)=15\)