\(a)\frac{2x-1}{5x-10}\)    \(\text{Đ}K:x\ne2\)

\(\Leftrightarrow2x-1=0\)

\(\Leftrightarrow x=\frac{1}{2}(TM)\)

\(b)\frac{x^2-x}{2x}\)    \(\text{Đ}K:x\ne0\)

\(\Leftrightarrow x^2-x=0\)

\(\Leftrightarrow x.(x-1)=0\)

\(\Leftrightarrow\orbr{\begin{cases}x=0(lo\text{ại})\\x=1(TM)\end{cases}}\)

\(c)\frac{2x+3}{4x-5}\)      \(\text{Đ}K:x\ne\frac{5}{4}\)

\(\Leftrightarrow2x+3=0\)

\(\Leftrightarrow x=\frac{-3}{2}(TM)\)

\(d)\frac{(x-1).(x+2)}{(x-3).(x-1)}\)    \(\text{Đ}K:\hept{\begin{cases}x\ne3\\x\ne1\end{cases}}\)

\(\Leftrightarrow(x-1).(x+2)=0\)

\(\Leftrightarrow\orbr{\begin{cases}x=1(l\text{oại})\\x=-2(TM)\end{cases}}\)

gửi cho 4 câu trc

dài vl

\(a;x^2-3x+3=x^2-2\cdot\frac{3}{2}x+\frac{9}{4}-\frac{9}{4}+3\)

                 \(=\left(x-\frac{3}{2}\right)^2+\frac{3}{4}\ge\frac{3}{4}\forall x\Leftrightarrow x^2-3x+3>0\forall x\)

a, TA CO X ² -3X+3=X²-3X+(3/2)² +3/4=(X-3/2)²+3/4 >0

TUONG TU

\(C1:=3+1-3y\)

\(=4-3y\)

\(C2:\)

\(a.=3x\left(2y-1\right)\)

\(b.=\left(x-y\right)\left(x+y\right)+4\left(x+y\right)\)

\(=\left(x-y+4\right)\left(x+y\right)\)

\(C3:\)

\(a.6x^2+2x+12x-6x^2=7\)

\(14x=7\)

\(x=\frac{1}{2}\)

\(b.\frac{1}{5}x-2x^2+2x^2+5x=-\frac{13}{2}\)

\(\frac{26}{5}x=-\frac{13}{2}\)

\(x=-\frac{13}{2}\times\frac{5}{26}\)

\(x=-\frac{5}{4}\)

Bạn Moon làm kiểu gì vậy ?

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

\(=\left[\left(x^2y^2\right)\left(3+1\right)\right]:\left(x^2y^2\right)-3y\)

\(=4-3y\)

2) a, \(6xy-3x=\left(3x\right)\left(2y-1\right)\)

b, \(x^2-y^2+4x+4y=\left(x+y\right)\left(x-y\right)+4\left(x+y\right)\)

\(=\left(x+y\right)\left(x-y+4\right)\)

3) a,  \(2x\left(3x+1\right)+\left(4-2x\right)3x=7\)

\(< =>6x^2+2x+12x-6x^2=7\)

\(< =>14x=7< =>x=\frac{7}{14}\)

b, \(\frac{1}{2}x\left(\frac{2}{5}-4x\right)+\left(2x+5\right)x=-6\frac{1}{2}\)

\(< =>\frac{x}{2}.\frac{2}{5}-\frac{x}{2}.4x+2x^2+5x=-\frac{13}{2}\)

\(< =>\frac{x}{5}-2x^2+2x^2+5x=-\frac{13}{2}\)

\(< =>\frac{26x}{5}=\frac{-13}{2}\)

\(< =>26x.2=\left(-13\right).5\)

\(< =>52x=-65< =>x=-\frac{65}{52}=-\frac{5}{4}\)

\(a)x\ne\pm\frac{4}{3}\)

\(b)x\ne2\)

\(c)x\ne\pm1\)

\(d)x\ne0;x\ne\frac{1}{2}\)

\(e)x\ne\pm1\)

\(f)x\ne-1;x\ne3\)

\(g)x\ne3;x\ne2\)

Mình Không Biết !

\(d,\frac{10x+3}{8}=\frac{7-8x}{12}\)

\(\left(10x+3\right):8=\left(7-8x\right):12\)

\(\left(10x+3\right).\frac{1}{8}=\left(7-8x\right).\frac{1}{12}\)

\(\frac{5}{4}x+\frac{3}{8}=\frac{7}{12}-\frac{8}{12}x\)

\(\frac{5}{4}x+\frac{8}{12}x=\frac{7}{12}-\frac{3}{8}\)

\(\frac{23}{12}x=\frac{5}{24}\)

\(x=\frac{5}{46}\)

E mới lớp 6 nên giải sai thì thông cảm ạ UwU

\(b,\frac{x}{10}-\left(\frac{x}{30}+\frac{2x}{45}\right)=\frac{4}{5}\)

\(< =>\frac{9x}{90}-\frac{7x}{90}=\frac{4}{5}\)

\(< =>\frac{x}{45}=\frac{32}{45}\)

\(< =>x=32\)

\(d,\frac{10x+3}{8}=\frac{7-8x}{12}\)

\(< =>\left(10x+3\right).12=\left(7-8x\right).8\)

\(< =>120x+36=56-64x\)

\(< =>184x=56-36=20\)

\(< =>x=\frac{20}{184}=\frac{5}{46}\)

Làm ngắn gọn thôi nhé :v

\(A=\frac{2x}{x^2-3x}+\frac{2x}{x^2-4x+3}+\frac{x}{x-1}\)

\(A=\frac{x^5-3x^4-3x^3+11x^2-6x}{x^5-8x^2+22x^2-24x+9}\)

\(A=\frac{x^4-3x^3-3x^2+11x-6}{x^4-8x^3+22x^2-24x+9}\)

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

\(A=\frac{x+2}{x-3}\)

\(B=\frac{x}{x+2}+\frac{2}{x-2}-\frac{4x}{4-x^2}\)

\(B=\frac{-x^4-4x^3+16x+16}{-x^4+8x^2-16}\)

\(B=\frac{\left(-x-2\right)\left(x+2\right)\left(x+2\right)\left(x-2\right)}{\left(-x-2\right)\left(x-2\right)\left(x+2\right)\left(x-2\right)}\)

\(B=\frac{x+2}{x-2}\)

\(C=\frac{1+x}{3-x}-\frac{1-2x}{3+x}-\frac{x\left(1-x\right)}{9-x^2}\)

\(C=\frac{1+x}{3-x}-\left(\frac{1-2x}{3+x}\right)-\frac{x\left(1-x\right)}{9-x^2}\)

\(C=\frac{10x}{-x^2+9}\)

\(D=\frac{5}{2x^2+6x}-\frac{4-3x^2}{x^2-9}-3\)

\(D=\frac{5}{2x^2+6x}-\left(\frac{4-3x^2}{x^2-9}\right)-3\)

\(D=\frac{51x^2+138x-45}{2x^4+6x^2-18x^2-54x}\)

\(D=\frac{3\left(17x-5\right)\left(x+3\right)}{2x\left(x+3\right)\left(x+3\right)\left(x-2\right)}\)

\(D=\frac{51x-15}{2x^3-18x}\)

\(E=\frac{3x+2}{x^2-2x+1}-\frac{6}{x^2-1}-\frac{3x-2}{x^2+2x+1}\)

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

\(E=\frac{10x^4-10}{x^6-3x^4+3x^2-1}\)

\(E=\frac{10\left(x^2+1\right)\left(x+1\right)\left(x-1\right)}{\left(x+1\right)\left(x+1\right)\left(x+1\right)\left(x-1\right)\left(x-1\right)\left(x-1\right)}\)

\(E=\frac{10x^2+10}{x^4-2x+1}\)