How do you factor completely $7(x-y)-z(x-y)$ ?

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Answer 1 · 2016-06-05T23:27:31

$-(x-y)(z-7)$

Given,

$7(x-y)-z(x-y)$

Factor out $color(red)((x-y))$ .

$=color(red)((x-y))(7*1-z*1)$

$=color(red)((x-y))color(blue)((7-z))$

Factor out $color(darkorange)(-1)$ from $color(blue)((7-z))$ .

$(x-y)[color(darkorange)-(-7+z)]$

$=color(green)(|bar(ul(color(white)(a/a)color(black)(-(x-y)(z-7))color(white)(a/a)|)))$

How do you factor completely 7(x-y)-z(x-y)7(x-y)-z(x-y)?