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) \(\dfrac{5x^2-10xy}{2\left(2y-x\right)^3}\)

b) \(f\left(x\right)=-2x^2+3x+5\)

c) \(f\left(x\right)=x^2+12x+36\)

d) \(f\left(x\right)=\left(2x-3\right).\left(x+5\right)\)

A.tính

\(25x^2-10x+1\)

B.rút gọn

\(\left(x-2\right).\left(x^2+2x+4\right)-6x^2+12x\)

(2x+5) .(5-2x)+(x-5).(5+4x)

Giaỉ các PT:
a) \(\left(x^2+1\right)^2=4\left(2x-1\right)\)

b) x(x+1)(x+2)(x+3)=24

c)\(\left(12x+7\right)^2\left(3x+2\right)\left(2x+1\right)=3\)

d)\(\left(x^2-9\right)^2=12x+1\)

e)\(\left(x-1\right)^5+\left(x+3\right)^5=242\left(x+1\right)\)

Giup mk vs mn

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

Giải phương trình:

\(\frac{\left(6x^4+4x^3-12x^2+9\right)\left(2x^3+7\right)-3\left(4x^3+5\right)\sqrt{6x^4+4x^3-12x^2+9}}{\sqrt{\left(6x^4+4x^3-12x^2+9\right)^3}-18x^3-9}=1\)

=))

giải hệ phương trình

\(\left\{{}\begin{matrix}8\left(x^3-1\right)+6xy^2=y\left(12x^2+y^2\right)\\\left(x^2+y-4x\right)\left(x^2-y^2-2x-5\right)=14\end{matrix}\right.\)

Tìm x, biết:

a) \(\left(3x-1\right)^2-\left(2x+3\right)^2=0\)

b)\(\left(12x-5\right)\left(4x-1\right)+\left(3x-7\right)\left(1-16x\right)=81\)