Rút gọn các phân thức:
a)\(\dfrac{14xy^5\left(2x-3y\right)}{21x^2y\left(2x-3y\right)^2}\)                          b)\(\dfrac{8xy\left(3x-1\right)^3}{12x^3\left(1-3x\right)}\)

c) \(\dfrac{20x^2-45 }{\left(2x+3\right)^2}\)                                    d) \(\dfrac{5x^2-10xy}{2\left(2y-x\right)^3}\)

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

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

Làm phép chia bằng cách áp dụng hằng đẳng thức:

a) \(\left(x^8-2x^4y^4+y^8\right):\left(x^2+y^2\right)\)

b) \(\left(64x^3+27\right):\left(16x^2-12x+9\right)\)

c) \(\left(x^3-9x^2+27x-27\right):\left(x^2-6x+9\right)\)

d) \(\left(x^3y^6z^9-1\right):\left(xy^2z^3-1\right)\)

Tính

a. \(6x^2.\left(3x^2-4x+5\right)\)

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

c.\(\left(18x^4y^3-24x^3y^4+12x^3y^3\right):\left(-6x^2y^3\right)\)

thực hiện phép tính:

a,\(\left(9x^2y^3-15x^4y^4\right):3x^2y-\left(2-3x^2y\right)y^2\)

b,\(\left(6x^2-xy\right):x+\left(2x^3y+3xy^2\right):xy-\left(2x-1\right)x\)

c,\(\left(x^2-xy\right):x-+\left(6x^2y^5-9x^3y^4+15x^4y^2\right):\dfrac{3}{2}x^2y^3\)

thực hiện phép tính:

a,\(\left(9x^2y^3-15x^4y^4\right):3x^2y-\left(2-3x^2y\right)y^2\)

b,\(\left(6x^2-xy\right):x+\left(2x^3y+3xy^2\right):xy-\left(2x-1\right)x\)

c,\(\left(x^2-xy\right):x-+\left(6x^2y^5-9x^3y^4+15x^4y^2\right):\dfrac{3}{2}x^2y^3\)

thực hiện phép tính:

a,\(\left(9x^2y^3-15x^4y^4\right):3x^2y-\left(2-3x^2y\right)y^2\)

b,\(\left(6x^2-xy\right):x+\left(2x^3y+3xy^2\right):xy-\left(2x-1\right)x\)

c,\(\left(x^2-xy\right):x-+\left(6x^2y^5-9x^3y^4+15x^4y^2\right):\dfrac{3}{2}x^2y^3\)