Đáp án:
$a)
(x-y)(7x+1)\\
b) (x-1)(5x+1)\\
c) (x-y)(7x-3y)\\
d)(x-1)(2x-1)\\
e) (1-x)^2(4x-1)$
Giải thích các bước giải:
$a)
7x(x-y)-(y-x)\\
=7x(x-y)+(x-y)\\
=(x-y)(7x+1)\\
b) 5x.(x-1)-(1-x)\\
=5x(x-1)+(x-1)\\
=(x-1)(5x+1)\\
c) 4x(x-y)+3(y-x)^2\\
=4x.(x-y)+3(x-y)^2\\
=(x-y)(4x+3x-3y)\\
=(x-y)(7x-3y)\\
d) x(x-1)+(1-x)^2\\
=x(x-1)+(x-1)^2\\
=(x-1)(x+x-1)\\
=(x-1)(2x-1)\\
e) 3x(x-1)^2-(1-x)^3\\
=3x(1-x)^2-(1-x)^3\\
=(1-x)^2(3x-1+x)\\
=(1-x)^2(4x-1)$