Answered

Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

Perform the indicated operation and simplify the result. Leave your answer in factored form.

[tex]\[ \frac{x+3}{x-8} + \frac{6x-7}{x-8} \][/tex]

[tex]\[ \frac{x+3}{x-8} + \frac{6x-7}{x-8} = \square \][/tex]

(Simplify your answer. Use integers or fractions for any numbers in the expression.)

Sagot :

GinnyAnswer
Let's break down the given problem step-by-step to simplify the expression:

Given expressions:
[tex]\[ \frac{x+3}{x-8} + \frac{6x-7}{x-8} \][/tex]

Since the denominators are the same, we can directly add the numerators:
[tex]\[ \frac{(x+3) + (6x-7)}{x-8} \][/tex]

Next, combine the terms in the numerator:
[tex]\[ (x + 3) + (6x - 7) = x + 3 + 6x - 7 = 7x - 4 \][/tex]

So the expression simplifies to:
[tex]\[ \frac{7x - 4}{x-8} \][/tex]

This is already in its simplest form as the numerator \(7x - 4\) cannot be factored further to cancel with the denominator \(x - 8\).

Our final simplified result is:
[tex]\[ \frac{7x - 4}{x-8} \][/tex]
We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.