Bài 1 .phân tích các đa thức sau :
a.\(z^2-\left(x-1\right)^2+2\left(x-1\right)\)
b.\(xz-yz-x^2+2xy-y^2\)
c.\(a^2x+aby-2abx-2b^2y\)
d.\(ab\left(x^2+y^2\right)+xy\left(a^2+b^2\right)\)
e.\(x^2+2xy+y^2-2x-2y+1\)
g.\(3x-3y+x^2-2xy+y^2\)
h.\(x^3-y^3-3x+3y\)
i.\(x^2-2xy+y^2-z^2\)
Bài 2: Tìm x, biết
a.\(x\left(2x-7\right)-4x+14=0\)
b.\(2x^3+3x^2+2x+3=0\)
Bài 1 :
\(e,x^2+2xy+y^2-2x-2y+1\)
\(=\left(x+y-1\right)^2\)
Bài 2:
\(b,2x^3+3x^2+2x+3=0\)
\(\Leftrightarrow\left(2x^3+2x\right)+\left(3x^2+3\right)=0\)
\(\Leftrightarrow2x\left(x^2+1\right)+3\left(x^2+1\right)=0\)
\(\Leftrightarrow\left(x^2+1\right)\left(2x+3\right)=0\)
\(\Leftrightarrow2x+3=0\left(x^2+1>0\right)\)
\(\Leftrightarrow x=-\dfrac{3}{2}\)