IDNLearn.com makes it easy to find precise answers to your specific questions. Ask your questions and receive comprehensive, trustworthy responses from our dedicated team of experts.

Find the difference. Express your answer in simplest form.

[tex]\[ \frac{u-8}{u+1} - \frac{-7u+4}{u+1} \][/tex]

Click on the correct answer.
A. [tex]\(\frac{-6u+4}{u+1}\)[/tex]
B. [tex]\(\frac{-6u+4}{2u+2}\)[/tex]
C. [tex]\(\frac{8u-12}{2u+2}\)[/tex]
D. [tex]\(\frac{8u-12}{u+1}\)[/tex]


Sagot :

Sure, let's solve the problem step-by-step.

Given the expression:
[tex]\[ \frac{u-8}{u+1}-\frac{-7u+4}{u+1} \][/tex]

Since both fractions have the same denominator [tex]\(u + 1\)[/tex], we can combine them into a single fraction:
[tex]\[ \frac{(u-8) - (-7u+4)}{u+1} \][/tex]

Now, we simplify the numerator:
[tex]\[ (u - 8) - (-7u + 4) = u - 8 + 7u - 4 \][/tex]

Combine like terms in the numerator:
[tex]\[ u + 7u - 8 - 4 = 8u - 12 \][/tex]

So we now have:
[tex]\[ \frac{8u - 12}{u+1} \][/tex]

This is the simplified form of the original expression. Therefore, the correct answer is:
[tex]\[ \frac{8u-12}{u+1} \][/tex]

Click on the correct answer:

[tex]\[ \boxed{\frac{8u-12}{u+1}} \][/tex]
Thank you for contributing to our discussion. Don't forget to check back for new answers. Keep asking, answering, and sharing useful information. Discover insightful answers at IDNLearn.com. We appreciate your visit and look forward to assisting you again.