thực hiện phép tính

a: (6x^5y^2-9x^4y^3+15x^3y^4)/3x^3y^2

b: (27x^3-8)/(6x+9x^2+4)

a) (x^2+4)(x+2)(x-2)-(x^2+3)(x^2-3)

b)(3x-2)(9x^2+6x+4)-3(9x^3-2)

c)(3x+5)^2+(6x+10)(2-3x)+(2-3x)^2

giải pt:

a,\(\left(13-4x\right)\sqrt{2x-3}+\left(4x-3\right)\sqrt{5-2x}=2+8\sqrt{-4x^2+16x-15}\)

b,\(\left(9x-2\right)\sqrt{3x-1}+\left(10-9x\right)\sqrt{3-3x}-4\sqrt{-9x^2+12x-3}=4\)

c, \(\left(6x-5\right)\sqrt{x+1}-\left(6x+2\right)\sqrt{x-1}+4\sqrt{x^2-1}=4x-3\)

rút gọn

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

rút gọn

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

tìm x

1) (3x-2)(9x^2+6x+4)-(2x-5)(2x+5)=(3x-1)^3-(2x+3)^2+9x(3x-1)

2) (2x+1)^3-(3x+2)^2=(2x-5)(4x^2+10x+25)+6x(2x+1)-9x^2

Tìm GTLN của biểu thức :

\(A=x^4-6x^3+9x^2+6x+2021\)

giải pt :

a,\(\left(6x-5\right)\sqrt{x+1}-\left(6x+2\right)\sqrt{x-1}+4\sqrt{x^2-1}=4x-3\)

b, \(\left(9x-2\right)\sqrt{3x-1}+\left(10-9x\right)\sqrt{3-3x}-4\sqrt{-9x^2+12x-3}=4\)

c, \(\left(13-4x\right)\sqrt{2x-3}+\left(4x-3\right)\sqrt{5-2x}=2+8\sqrt{-4x^2+16x-15}\)

x^4 - 6x^3 + 9x^2

(3-9x)(6x-4)(5-15x)=0