1) Cho\(A=\frac{5\cdot x-4}{2\cdot x+5}-\frac{3\cdot y-3\cdot x}{2\cdot y-5}và3\cdot x-y=5\).Tính A

\(\sqrt{2\cdot x^2+4\cdot x+6}\) +\(\sqrt{3\cdot x^2+6\cdot x+12}\)=5-\(2\cdot x\)-\(x^2\)

a) Chứng minh biểu thức sau không phụ thuộc vào x:

\(\left(\frac{5\cdot a+b}{5\cdot a^2-a\cdot b}+\frac{5\cdot a-b}{5\cdot a^2-a\cdot b}\right)\div\frac{100\cdot a^2+4\cdot b^2}{25\cdot a^3-a\cdot b^2}\)

b) Tìm x; y sao cho \(x^3+y^3=3\cdot x\cdot y-1\)

giải pt:\(2\cdot\left(x^2+2\cdot x+3\right)=5\cdot\sqrt{x^3+3\cdot x^2+3\cdot x+2}\)

\(\frac{2\cdot x^4-5\cdot x^3+2\cdot x^2-5\cdot x-30}{x^2+10\cdot x-15}\) với x=\(-\sqrt{5}\)

Tìm Đa Thức M,N

a, \(3\cdot X^2\cdot y+M-X\cdot Y=10\cdot X^2\cdot Y-2\cdot X\cdot Y\)

b, \(\left(6\cdot X\cdot Y-5\cdot Y^2\right)-N=X^2-2\cdot X\cdot Y+4\cdot Y^2\)

\(\left(\frac{1}{7}\cdot x-\frac{2}{7}\right)\cdot\left(-\frac{1}{5}\cdot x+\frac{3}{5}\right)\cdot\left(\frac{1}{3}\cdot x+\frac{4}{3}\right)=0\)

\(\frac{2\cdot x+3}{5\cdot x+2}=\frac{4\cdot x+5}{10\cdot x+2}\)

x=?????????????

Bài 1: Tìm x,y:

\(\frac{2\cdot x+1}{5}=\frac{3\cdot y-2}{7}=\frac{2\cdot x+3\cdot y-1}{6\cdot x}\)