To simplify the expression (x^2 - 49)/(7 - x), we need to factor the numerator and the denominator.
The numerator, x^2 - 49, can be factored as the difference of squares: (x + 7)(x - 7).
The denominator, 7 - x, can be written as -(x - 7) by rearranging the terms.
So now we have: (x + 7)(x - 7)/[-(x - 7)].
The term -(x - 7) in the denominator can be canceled out with one of the (x - 7) terms in the numerator.
Therefore, the simplified expression is: (x + 7)/-1.
This can further be simplified as: -(x + 7).
simplify:
x^2 - 49 / 7 - x
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