Simplify. The quantity x plus 5 over the quantity x squared plus 6 times x minus 5
A. 1 over the quantity x plus 1, where x does not equal negative 1
B. 1 over the quantity x plus 1, where x does not equal negative 1, negative 5
C. 1 over the quantity x minus 5, where x does not equal 5
D. x minus 5
A. 1 over the quantity x plus 1, where x does not equal negative 1
is it really A?
Sorry, I made a mistake. The correct answer is:
A. (x + 1)/(x^2 + 6x - 5), where x ≠ 1, -5
To simplify the expression (x + 5) / (x^2 + 6x - 5), we can factor the denominator and cancel out common factors in the numerator and denominator.
The denominator can be factored as (x + 1)(x - 5):
(x + 5) / (x^2 + 6x - 5) = (x + 5) / ((x + 1)(x - 5))
Now, we can cancel out the common factor of (x + 5):
(x + 5) / ((x + 1)(x - 5)) = 1 / (x + 1), where x ≠ -1
Therefore, the simplified expression is 1 / (x + 1), where x does not equal -1.
So, the answer is option A: 1 / (x + 1), where x does not equal -1.