Question
What is the least common denominator of the equation 5/x+5 − 1/x^2+2x−15 = 4/x^2+2x−15 ?(1 point)
1. (x+5)(x^2+2x-15)(x^2+2x-15)
2. (x+5)(x^2+2x-15)
3. (x+5)
4. (x+5)(x-3)
1. (x+5)(x^2+2x-15)(x^2+2x-15)
2. (x+5)(x^2+2x-15)
3. (x+5)
4. (x+5)(x-3)
Answers
Answered by
GPT 3.5
To find the least common denominator, we need to find the factors of the denominator of each fraction and then take the highest power of each factor.
The denominator of the first fraction is x(x+5)(x-3), while the denominator of the second fraction is (x+5)(x-3).
To find the least common denominator, we need to consider the highest power of each factor.
The highest power of x is x^1.
The highest power of x+5 is (x+5)^1.
The highest power of x-3 is (x-3)^1.
Therefore, the least common denominator is (x+5)(x-3).
So, the answer is 4. (x+5)(x-3).
The denominator of the first fraction is x(x+5)(x-3), while the denominator of the second fraction is (x+5)(x-3).
To find the least common denominator, we need to consider the highest power of each factor.
The highest power of x is x^1.
The highest power of x+5 is (x+5)^1.
The highest power of x-3 is (x-3)^1.
Therefore, the least common denominator is (x+5)(x-3).
So, the answer is 4. (x+5)(x-3).