a)\(ax-2x-a^2+2a\)
\(=\left(ax-2x\right)-\left(a^2-2a\right)\)
\(=x\left(a-2\right)-a\left(a-2\right)\)
\(=\left(x-a\right)\left(a-2\right)\)
b)\(x^2+x-ax-a\)
\(=\left(x^2+x\right)-\left(ax+a\right)\)
\(=x\left(x+1\right)-a\left(x+1\right)\)
\(=\left(x-a\right)\left(x+1\right)\)
c)\(2x^2+4ax+x+2a\)
\(=\left(2x^2+4ax\right)+\left(x+2a\right)\)
\(=2x\left(x+2a\right)+\left(x+2a\right)\)
\(=\left(2x+1\right)\left(x+2a\right)\)
d)\(3x^2-3y^2-2\left(x-y\right)^2\)
\(=3\left(x^2-y^2\right)-2\left(x-y\right)^2\)
\(=3\left(x-y\right)\left(x+y\right)-2\left(x-y\right)^2\)
\(=\left(x-y\right)\left(3\left(x+y\right)-2\left(x-y\right)\right)\)
\(=\left(x-y\right)\left(3x+3y-2x+2y\right)\)
\(=\left(x-y\right)\left(x+5y\right)\)
Phân tích đa thức sau thành nhân tử:
a/ ax - 2x - a2 +2a
= x(a-2)-a(a-2)
= (a-2)(x-a)
b/x2 + x - ax - a
= x(x+1)-a(x+1)
=(x+1)(x-a)
c/2x2 + 4ax +x +2a
= x(2x+1)+2a(2x+1)
= (2x+1)(x+2a)
