=\(\frac{30x^2y^3}{8x^2y^2}\)

Ta có :

\(\frac{6x^2y^2}{8xy^5}=\frac{3x}{4y^3}\)

\(\frac{x^2-xy}{5xy-5y^2}=\frac{x\left(x-y\right)}{5y\left(x-y\right)}=\frac{x}{5y}\)

Hok tốt !

\(\frac{6x^2y^2}{8xy^5}=\frac{6x^2y^2}{8xy^5}=\frac{6x}{8y^3}=\frac{3x}{4y^3}\)

\(\frac{x^2-xy}{5xy-5y^2}=\frac{x\left(x-y\right)}{5y\left(x-y\right)}=\frac{x}{5y}\)

12x\(^2\)+ 8x-9x-6-12x\(^2\)+30x+2x-5+1 = 31x - 10

ĐK: \(x\ne\pm\frac{3}{2},x\ne-\frac{1}{2}\)

\(\frac{2}{2x+3}+\frac{3}{2x+1}-\frac{6x+5}{\left(2x+3\right)\left(2x-3\right)}\)

\(=\frac{2\left(2x+1\right)\left(2x-3\right)+3\left(2x+3\right)\left(2x-3\right)-\left(6x+5\right)\left(2x+1\right)}{\left(2x+3\right)\left(2x-3\right)\left(2x+1\right)}\)

\(=\frac{\left(8x^2-8x-6\right)+\left(12x^2-27\right)-\left(12x^2+16x+5\right)}{\left(2x+3\right)\left(2x-3\right)\left(2x+1\right)}\)

\(=\frac{8x^2-24x-38}{\left(2x+3\right)\left(2x-3\right)\left(2x+1\right)}\)

Bài 1

A= (x-2)(2x-1)-2x(x+3)=2x²-x-4x+2-2x²-6x=-11x+2

Bài 1:

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

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

\(A=-11x+2\)

b) \(B=\left(3x-2\right)\left(2x+1\right)-\left(6x-1\right)\left(x+2\right)\)

\(B=6x^2+3x-4x-2-6x^2-12x+x+2\)

\(B=-12x\)

c) \(C=6x\left(2x+3\right)-\left(4x-1\right)\left(3x-2\right)\)

\(C=12x^2+18x-12x^2+8x+3x-2\)

\(C=29x-2\)

d) \(D=\left(2x+3\right)\left(5x-2\right)+\left(x+4\right)\left(2x-1\right)-6x\left(2x-3\right)\)

\(D=10x^2-4x+15x-6+2x^2-x+8x-4-12x^2+18x\)

\(D=36x-10\)

Bài 2: 

a: Ta có: \(2x\left(3x-5\right)\left(x+11\right)-3x\left(2x+3\right)\left(x+7\right)\)

\(=2x\left(3x^2+33x-5x-55\right)-3x\left(2x^2+14x+3x+21\right)\)

\(=6x^3+56x^2-110x-6x^2-51x^2-63x\)

\(=-117x\)

b: Ta có: \(\left(x^2+5x-6\right)\left(x-1\right)-\left(x+2\right)\left(x^2-x+1\right)-x\left(3x-10\right)\)

\(=x^3+4x^2-11x+6-\left(x^3-x^2+x+2x^2-2x+2\right)-3x^2+10x\)

\(=x^3+x^2-x+6-x^3-x^2+x-2\)

=4

c: Ta có: \(\left(x^2+x+1\right)\left(x-1\right)-x^2\left(x+1\right)+x^2-5\)

\(=x^3-1-x^3-x^2+x^2-5\)

=-6

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

\(=4x^2+4x+1+4x^2-4x+1-2\left(x^2-6x+9\right)\)

\(=8x^2+2-2x^2+12x-18\)

\(=6x^2+12x-16\)

b: \(\left(x-1\right)^2-\left(3x+2\right)^2\)

\(=x^2-2x+1-9x^2-12x-4\)

\(=-8x^2-14x-3\)

c: \(\left(6x+1\right)^2+\left(6x-1\right)^2-2\left(6x+1\right)\left(6x-1\right)\)

\(=\left(6x+1\right)^2-2\left(6x+1\right)\left(6x-1\right)+\left(6x-1\right)^2\)

\(=\left(6x+1-6x+1\right)^2=2^2=4\)

\(\left(4x-3\right)\left(3x+2\right)-\left(6x+1\right)\left(2x+5\right)+1\)

\(=\left(12x^2-9x+8x-6\right)-\left(12x^2+2x+30x+5\right)+1\)

\(=\left(-x-32x\right)+\left(-6-5+1\right)=-33x-10\)

\(=8x^3+27-8x^3-7=20\)

bằng 20