# Simplifying Rational Expressions

1. 4x-12/4x
2. d+7/d^2-49
3.t2-25/t^2+t20
4.2x^2+6x+4/4x^212x16
5.6y/y^22y24

Try to factor where you can, then simplify as much as you can.

I'll show you the first two problems; maybe you can try the rest on your own.

#1. (4x - 12)/4x
Factor the numerator (top).
4(x-3)/4x
We can cancel out 4 in both the numerator and denominator (bottom).
When we do that, we end up with (x-3)/x

#2. (d+7)/(d^2-49)
Factor the denominator.
(d+7)/(d+7)(d-7)
We can cancel out (d+7) in both the numerator and denominator.
When we do that, we end up with 1/(d-7)

I hope this will help get you started on these problems.

1. 👍
2. 👎
3. 👁

## Similar Questions

1. ### English 4 help

In this course,you studied literary works from the romantic period,the Victorian era,and the modern era.Describe the common themes from each era.Then explain the main elements of the historical context that contributed to the

2. ### Art

A container is decorated with images of Egyptian gods and placed inside a tomb. What is the likely function of this object, given what you know about Egyptian culture? A. This container was probably designed to protect the

3. ### Health and Physical education just three questions

1 The Body's reaction to information is to send these to the brain. A neurons B impulses C dendrites D synapse 2 The part of the brain that controls movements and balance is the A cerebrum B derebellum C brain stem D frontal lobe

4. ### Intro to Psychiology 1

Which one of the following statements about the gate-control theory is true? A) Pain impulses create a gate leading to the brain. B) The brain is capable of generating pain on its own. C) The gate closes when pain messages go to

1. ### Psychology

Which one of the following statements about the gate-control theory is true? Pain impulses create a gate leading to the brain. The brain is capable of generating pain on its own. The gate closes when pain messages go to the brain.

2. ### Psychology

Who is Phineas Gage and how did his behavior change after the accident? Could anyone help me with a report about behavioral repercussions od different brain injuries? I have to pretend someone I know has a brain injury and create

3. ### geometry

totally brain dead please help Find the missing value to the nearest hundredth Tan _______ = 7 I forgot how to do this

4. ### English

Read the following line from "Not Waving but Drowning." "Poor chap, he always loved larking And now he's dead" a. detached b. pleased c. objective d. critical NOT WAVING BUT DROWNING Stevie Smith Nobody heard him, the dead man,

1. ### English

Describe the setting of “Grape Sherbet” as you visualize it. A graveyard with a family? Also, is the father dead or alive. I know this is happening on Memorial Day, but it doesn't seem clear whether the father is dead.