Đáp án+giải thích các bước giải:
a)
$5(x-y)-x(x-y)$
$=(x-y)(5-x)$
b)
$x^2-y^2+5x-5y$
$=(x-y)(x+y)+5(x-y)$
$=(x-y)(x+y+5)$
c)
$1-8x+16x^2-y^2$
$=(4x)^2-2.4x - 1)-y^2$
$=(4x-1)^2-y^2$
$=(4x-1-y)(4x-1+y)$
d)
$5xy^2-35xy+60y$
$=5y(x^2-7x+12)$
$=5y (x² - 3x - 4x + 12)$
$=5y [(x² - 3x) - (4x - 12)]$
$=5y [x (x - 3) - 4 (x - 3)]$
$=5y (x - 3) (x - 4)$