How do you simplify and find the excluded value of $(m - 3 )/( 3 - m )$ ?

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Answer 1 · 2017-05-19T14:03:29

See a solution process below:

First, rewrite the numerator as:

$(-1(-m +3))/(3 - m) => (-1(3 - m))/(3 - m)$

Now, cancel like terms in the numerator and denominator to complete the simplification:

$(-1color(red)(cancel(color(black)((3 - m)))))/color(red)(cancel(color(black)(3 - m))) => -1$

Because we cannot divide by $0$ the numerator, or, $3 - m$ cannot equal $0$ .

To find the excluded value set $3 - m$ equal to $0$ and solve for $m$ :

$3 - m = 0$

$-color(red)(3) + 3 - m = -color(red)(3) + 0$

$0 - m = -3$

$-m = -3$

$color(red)(-1) xx -m = color(red)(-1) xx -3$

$m = 3$

The excluded value is $m = 3$

How do you simplify and find the excluded value of (m - 3 )/( 3 - m )(m - 3 )/( 3 - m )?