How do you simplify $\frac{7 + w}{- 7 - w}$ $(7+w)/(-7-w)$ ?

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Answer 1 · 2017-06-09T04:18:59

See a solution process below:

First, rewrite the denominator as:

$\frac{7 + w}{- 1 (7 + w)}$ $(7 + w)/(-1(7 + w)$

Now, cancel common terms in the numerator and denominator:

$color(red)(cancel(color(black)(7 + w)))/(-1color(red)(cancel(color(black)((7 + w))))) => 1/-1 = -1$

How, because we cannot divide by $0$ in the original expression we need to restrict as:

Where $x != -7$

How do you simplify (7+w)/(-7-w)7+w−7−w(7+w)/(-7-w)?