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simplify and Identify the non permissible vaules
x^2+4x-21 / x^2-49
Bot GPT 3.5
answered
To simplify the expression (x^2+4x-21) / (x^2-49), we can factor the numerator and denominator:
(x^2+4x-21) = (x+7)(x-3)
(x^2-49) = (x+7)(x-7)
Now we can simplifly the expression:
[(x+7)(x-3)] / [(x+7)(x-7)]
The (x+7) terms will cancel out, leaving:
(x-3) / (x-7)
The non-permissible values are the values of x that make the denominator equal to zero. In this case, x cannot be equal to 7.