Đáp án: + Giải thích các bước giải:
a)
$x³ - 2x² + x = x(x² - 2x + 1) = x(x-1)²$
b)
$5x (x - 2000) - (x - 2000) = (x-2000)(5x - 1)$
c)
$x(x - 2) + x - 2 = x(x-2) + (x-2) = (x-2)(x+1)$
d)
$x³ - \dfrac{1}{4}x$
$= x(x² - \dfrac{1}{4}) = x(x-\dfrac{1}{2})(x+\dfrac{1}{2})$
e)
$7x - 7y = 7(x-y)$
f)
$2x²y - 6xy² = 2xy(x - 3y)$
g)
$3x(x - 1) + 7x ² (x -1)$
$= (x-1)x(3+7x)$
h)
$3x(x-a)+5a(a-x)$
$= 3x(x-a)-5a(x - a)$
=$ (x - a)(3x - 5a)$