Question

What is the common factor of the numerator and denominator in the expression (x+1)(x+7)(x+7)(x−1)

Answer 1

The common factor of the numerator and denominator in the expression (x+1)(x+7)(x+7)(x−1) is (x+1)(x+7)(x+7)(x−1).

Step-by-step explanation:

The common factor of the numerator and denominator in the expression (x+1)(x+7)(x+7)(x−1) can be found by multiplying the factors of the numerator together and multiplying the factors of the denominator together.

In this expression, the numerator contains the factors (x+1)(x+7)(x+7)(x−1) and the denominator contains no factors (since it is not specified).

Therefore, the common factor of the numerator and denominator is (x+1)(x+7)(x+7)(x−1).

Answer 2

Answer:So the common factor of the numerator and denominator is (x+7)(x+7) or (x+7)^2, and the simplified expression is (x+1)(x−1).

Step-by-step explanation:

To find the common factor of the numerator and denominator of the expression (x+1)(x+7)(x+7)(x−1), we need to factorize it completely.

(x+1)(x+7)(x+7)(x−1) = (x+1)(x−1)(x+7)(x+7)

Now we can see that the common factor of the numerator and denominator is (x+7)(x+7) or (x+7)^2.

Therefore, we can simplify the expression by dividing both the numerator and denominator by (x+7)^2:

(x+1)(x−1)(x+7)(x+7)/(x+7)(x+7) = (x+1)(x−1)

So the common factor of the numerator and denominator is (x+7)(x+7) or (x+7)^2, and the simplified expression is (x+1)(x−1).