How do you factor $x^{2} - 2 x - x y + 2 y$ $x^2-2x-xy+2y$ ?

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How do you factor $x^{2} - 2 x - x y + 2 y$ $x^2-2x-xy+2y$ ?

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Answer 1 · 2016-09-02T13:43:17

(x -y)(x-2)

Explanation:

$x^{2} - 2 x - x y + 2 y$ $x^2-2x-x y+2y$
= $x^{2} - 2 x - (x y - 2 y)$ $x^2-2x-(x y-2y)$
Factorise the first pair of terms and also the second pair
$x (x - 2) - y (x - 2)$ $x(x-2)-y(x-2)$
Factorise
$(x - y) (x - 2)$ $(x-y)(x-2)$

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How do you factor $x^{2} - 2 x - x y + 2 y$ $x^2-2x-xy+2y$ ?

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How do you factor $x^{2} - 2 x - x y + 2 y$ $x^2-2x-xy+2y$ ?