Question

Mar 07, 12:10:58 PM Simplify the expression completely if possible. (x^(2)-8x+7)/(x^(2)+7x-8) Submit Answer

Answer 1

To simplify the given expression, factor both the numerator and the denominator, cancel out the common factor, and write down the simplified form.

Step-by-step explanation:

To simplify the expression (x2-8x+7)/(x2+7x-8), we need to factor both the numerator and the denominator and then reduce the fraction by eliminating common factors.

First, we factor the numerator:

x2 - 8x + 7 = (x - 7)(x - 1)

Next, we factor the denominator:

x2 + 7x - 8 = (x + 8)(x - 1)

Now the expression looks like this:

(x - 7)(x - 1) / (x + 8)(x - 1)

We can simplify by canceling out the common factor of (x - 1):

(x - 7) / (x + 8)

This is the simplified form of the original expression.