\(a,x^2+2x+1=4.\left(x^2-2x+1\right)\)
\(\Leftrightarrow\left(x+1\right)^2=2^2.\left(x-1\right)^2\)
\(\Leftrightarrow\left(x+1\right)^2-\left(2x-2\right)^2=0\)
\(\Leftrightarrow\left(x+1+2x+2\right).\left(x+1-2x+2\right)=0\)
\(\Leftrightarrow\left(3x+3\right).\left(-x+3\right)=0\)
tự làm tiếp
\(x.\left(x-1\right).\left(x+2\right)-\left(x-5\right).\left(x^2-x+1\right)-7x^2=0\)
\(\Leftrightarrow\left(x^3+x^2-2x\right)-\left(x^3-6x^2+6x-5\right)-7x^2=0\)
\(\Leftrightarrow\left(x^3-6x^2-2x\right)-\left(x^3-6x^2-2x+8x-5\right)=0\)
\(\Leftrightarrow-8x+5=0\)
\(\Leftrightarrow-8x=-5\Rightarrow x=\frac{5}{8}\)
Vậy...
>: sr, t làm lộn
dòng thứ 4\(\left(x+1+2x-2\right).\left(x+1-2x+2\right)=0\)
\(\Leftrightarrow\left(3x-1\right).\left(-x+3\right)=0\)