Question

Fatorar a expressão:
- y + x - x² + xy

Answer 1

Olá, Loide !

$-y+x-x^2+xy$

Observe que, $x-x^2=x(1-x)$ e $xy-y=y(1-x)$.

Logo, $x-x^2+xy-y=x(1-x)-y(1-x)=(x-y)(1-x)$.

De fato, pois:

$(x-y)(1-x)=x-y+xy-x^2$

Answer 2

- y + x - x² + xy =
xy - y - x² + x =
y(x - 1) - x(x - 1)=
(y-x)(x-1)