How do you simplify $(10-x)/(x-10)$ ?

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Answer 1 · 2016-09-04T08:16:43

$-1$

Start with the original:

$(10-x)/(x-10)$

See that the denominator and numerator are the same but for a difference in sign, so we can simplify by:

$(10-x)/(x-10)=-1((10-x)/(-1(x-10)))=-1((10-x)/(-x+10))=-1((10-x)/(10-x))=-1$

How do you simplify (10-x)/(x-10)(10-x)/(x-10)?