Phân tích đa thức thành nhân tử:

1) \(2a^2b^2+2b^2c^2+2c^2a^2-a^4-b^4-c^4\)

2) \(\left(x+y\right)^4+x^4+y^4\)

3) \(\left(x+y\right)^7+\left(y-2\right)^7+\left(z-x\right)^7\)

4) \(\left(x-y\right)^5+\left(y-z\right)^5+\left(z-x\right)^5\)

5) \(\left(x-y\right)^7+\left(y-z\right)^7+\left(z-x\right)^7\)

6) \(8\left(x+y+z\right)^3-\left(x+y\right)^3-\left(y+z\right)^3-\left(z+x\right)^3\)

7) \(x^3+y^4-6xy+8\)

8) \(x^3+y^3+3x^2+3y^2++6x+6y+8\)

9) \(a^3+ac^2-abc+b^2c+b^3\)

B1: phân tích đa thức

a)\(x^3+4x^2-29x+24\)

b)\(x^4+6x^3+7x^2+6x+1\)

c)\(\left(x^2-x+2\right)^2+\left(x-2\right)^2\)

d)\(6x^5+15x^4+20x^3+15x^2+6x+1\)

e)\(x^6+3x^5+4x^4+4x^3+4x^2+3x+1\)

B2:phân tích đa thức

a)\(x^8+x^4+1\)

b)\(x^{10}+x^5+1\)

c)\(x^{12}+1\)

B3: phân tích đa thức 

a)\(\left(x+y+z\right)^3-x^3-y^3-z^3\)

b)\(\left(x+y+z\right)^5-x^5-y^5-z^5\)

AI LÀM ĐC PHẦN NÀO THÌ LÀM KO CẦN LÀM HẾT GIÚP MK MAI NỘP BÀI RỒI

Phân tích đa thức thành nhân tử 

a)\(8x^2+10x-3\)

b)\(m^3-2m-1\)

c)\(x^8+x+1\)

d)\(x^5+x^4+1\)

e)\(x^{10}+x^5+1\)

f)\(x^3+y^3+z^3-3xyz\)

g)\(x^2-2xy+y^2+3x-3y-4\)

h)\(\left(12x^2-12xy+3y^2\right)-10\left(2x-y\right)+8\)

\(\frac{x}{3}=\frac{y}{4}và\frac{y}{6}=\frac{z}{5}va3x-2y+5z=86\)

\(\frac{x}{5}=\frac{y}{7};xy=140\)

\(\frac{x-1}{9}+\frac{x-2}{8}=\frac{x-3}{7}+\frac{x-4}{6}\)

\(\frac{31-2x}{x+23}=\frac{9}{4}\)

\(4x=5y;xy-80=0\)

\(\frac{x+3}{8}-\frac{2}{x-3}\)

\(\frac{x^2}{6}=\frac{14}{25}\)

1.\(x^8+x+1\)

2.(4x+1).(12x-1).(3x+2)-4

3.\(64x^4+y^4\)

4.\(x^3-6x^2+9x\)

5.(1+2x).(1-2x)-(1+3y).(1-3y)

6.\(2x^2+3x-5\)

7.\(\left(x^2+4\right)^2-16x^2\)

8.\(\left(x^2+3x+2\right).\left(x^2+11x+30\right)-5\)

9.\(\left(a+b-2c\right)^3+\left(b+c-2a\right)^3+\left(c+a-2b\right)^3\)

10.4x.(2y-z)+7y.(z-2y)

11.\(3x^2-6xy+3y^2-12z^2\)

12.\(9-2y-4x^2+4y^2\)

13.\(x^3-6x^2y+9xy^2\)

14,\(x^2-9+2.\left(x-3\right)^2\)

Giải phương trình:

1. \(\frac{2x+3}{4}-\frac{5x+3}{6}=\frac{3-4x}{12}\)

2. \(\frac{3.\left(2x+1\right)}{4}-1=\frac{15x-1}{10}\)

3. \(\frac{2x-1}{5}-\frac{x-2}{3}=\frac{x+7}{15}\)

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

5. \(\frac{x-4}{5}-\frac{3x-2}{10}-x=\frac{2x-5}{3}-\frac{7x+2}{6}\)

6. \(\frac{\left(x+2\right)\left(x+10\right)}{3}-\frac{\left(x+4\right)\left(x+10\right)}{12}=\frac{\left(x-2\right)\left(x+4\right)}{4}\)

7. \(\frac{\left(x+2\right)^2}{8}-2\left(2x-1\right)=25+\frac{\left(x-2\right)^2}{8}\)

8.\(\frac{7x^2-14x-5}{5}=\frac{\left(2x+1\right)^2}{5}-\frac{\left(x-1\right)^2}{3}\)

9. \(\frac{\left(2x-3\right)\left(2x+3\right)}{8}=\frac{\left(x-4\right)^2}{6}+\frac{\left(x-2\right)^2}{3}\)

10. \(\frac{x+1}{35}+\frac{x+3}{33}=\frac{x+5}{31}+\frac{x+7}{29}\)

Bài 1: Rút gọn biểu thức:

a) x^2 (x +4)(x –  4) – (x^2 +1)(x^16 – 1)      

b) 2x^2 (x – 2) + 3x(x^2 – x – 2) – 5(3 + x^2 )

c) 3(2^2 + 1)(2^4 + 1)(2^8 + 1)(2^16 + 1)

d) (6x +1) ^2 + (6x –1) ^2  – 2(6x +1)(6x –1)

Bài 2: Tính nhanh giá trị của mỗi biểu thức sau:

a) 1,6  + 4.0,8.3,4 + 3,4                           

b) 3^4 .5^4 – (15^2 + 1)(15^2 –1)

c) 34^2 + 66^2 + 68.66                               

d) x  – 12x  + 12x  – 12x +111 tại x = 11