1 answer

How do you simplify #\frac { 1- \frac { 4} { x ^ { 2} } } { \frac {

Question:

How do you simplify #\frac { 1- \frac { 4} { x ^ { 2} } } { \frac { 5} { x } + \frac { 10} { x ^ { 2} } }#?

Answers

Please see the explanation.

Explanation:

Multiply by 1 in the form #x^2/x^2#

#(1 - 4/x^2)/(5/x + 10/x^2)x^2/x^2#

Multiply numerators and denominators:

#(x^2 - 4x^2/x^2)/(5x^2/x + 10x^2/x^2)#

The denominators are canceled by common factors in the numerators:

#(x^2 - 4)/(5x + 10)#

The numerator is the difference of two squares; we know how that factors:

#((x - 2)(x + 2))/(5x + 10)#

Remove a factor of 5 from the denominator:

#((x - 2)(x + 2))/(5(x + 2))#

The common factor #x + 2# cancels:

#(x - 2)/5#

Simple enough, I think.

.

Similar Solved Questions

1 answer
I'm unsure if these are correct any help would be appreciated! Rosave ACC 202 Final Project...
I'm unsure if these are correct any help would be appreciated! Rosave ACC 202 Final Project Workbook. Excel Home Insert Draw Page Layout Formulas Data Review View Help X cut ОБСору Format Painter Calibri 410A АА B TUBE -A- General 24 23 Wrap Tor...
1 answer
2. Consider the network described in the table below. Immediate Predecessor(s) Activity J K L M...
2. Consider the network described in the table below. Immediate Predecessor(s) Activity J K L M N O Р Pessimistic 15 9 10 3 9 10 10 J J KM KM LN Probable 10 8 6 3 5 7 8 Optimistic 8 7 5 3 1 4 3 Draw the network diagram and answer the following questions, DuC duUCULUU AabbLCU AOBOLcud Red E 1 N...
1 answer
A. For each operand and result within each of the following assembly language instructions categorize each...
A. For each operand and result within each of the following assembly language instructions categorize each addressing mode using the 5-types framework of Figure 7.6. Each instruction will have three answers to be listed.       LOAD R4, 12+R9      ; ...
1 answer
Write an NCP regarding a 35 year old patient for discharge premise: Patient has just given...
Write an NCP regarding a 35 year old patient for discharge premise: Patient has just given birth NSD to a preterm baby the baby is alive and is currently in the NICU "Write a discharge NCP" please :) with the following 1. Assessment 2. Nursing Diagnosis 3. Inference 4. Nursing intervention 5...
1 answer
Which condition decrease tidal volume?
Which condition decrease tidal volume?...
1 answer
Can u answer 8 and 9 5 L What mass of ammonia is in the container?...
can u answer 8 and 9 5 L What mass of ammonia is in the container? R-0.0821 L atm/mol K A) 17.0 g B) 59.8 g C) 0.180 g D) 8.04 g E) 0.07878 8) 8) Sodium polypbesplate is used in detergents to make the effective in band water. Calculate the oxidation number of phosphorus in NagP3010 N214- 5 -20 A) +3...
1 answer
Advanced Accounting II Chapter 19- Income Taxes Problem 1. Garrison Designs, Inc., a corporation organized on...
Advanced Accounting II Chapter 19- Income Taxes Problem 1. Garrison Designs, Inc., a corporation organized on January 1, 2008. reported the following incomes (losses) for the ten-year period, 2008-2017: Year Income (Loss) Income Tax Rate 2008 S 16,000 50% 2009 (40,000) 50% 2010 16,000 48% 2011 24,00...
1 answer
7:24 PM Wed Nov 20 PRACTICE IT Use the worked example above to help you solve...
7:24 PM Wed Nov 20 PRACTICE IT Use the worked example above to help you solve this problem. A uniform horizontal beam 5.00 m long and weighting 2.97 x 10N is attached to a wall by a pin connection that allows the beam to rotate. Its far end is supported by a cable that makes an angle of 53.0 with th...
1 answer
C++ question, i put the txt attachment picture for this question... please include comments on calculations...
c++ question, i put the txt attachment picture for this question... please include comments on calculations and varibles Description In this program, you will write a program to emulate a vending machine (somewhat). In this version of the program, you will use a struct type defined below struct snac...
1 answer
3. Given y = 1094 (x+3)+1 Provide the following: a. Vertical Asymptote b. Domain c. Range...
3. Given y = 1094 (x+3)+1 Provide the following: a. Vertical Asymptote b. Domain c. Range d. Graph 4. Use the properties of logarithms to expand the following expression. Simplify, as much as possible...
1 answer
How do you solve #sin4x-2sin2x=0# in the interval [0,360]?
How do you solve #sin4x-2sin2x=0# in the interval [0,360]?...
1 answer
Family and/or caregiver roles in support of the person with leukemia disease
Family and/or caregiver roles in support of the person with leukemia disease...
1 answer
Hw help,thx! 3. Find the general solution to the given system. x 3 -1 1 1...
Hw help,thx! 3. Find the general solution to the given system. x 3 -1 1 1 1 - 1 X -1 1...
1 answer
XIII. (Hint: See 7.1) Consider the following statistics regarding class sizes at two high schools. McClatchy...
XIII. (Hint: See 7.1) Consider the following statistics regarding class sizes at two high schools. McClatchy High Grant High n-41 n=61 x = 26.43 y = 24.51 =4.02 s=3.15 a) Use a = 0.05 to test the claim that the mean class size at McClatchy is different than at Grant High School. b) Construct a 90% C...
1 answer
Revise your worksheet to the accounting equation and update for the new transaction values below, and...
Revise your worksheet to the accounting equation and update for the new transaction values below, and then answer the questions that follow. The following transactions took place at a newly formed company: 1 Started the company by issuing common stock $ 52,800 2 Paid six months of rent in ...
1 answer
Answer 9.35 232 CHAPTER9Introducing Probability (b) What is the probability that a randomly chosen postmenopausal woman...
Answer 9.35 232 CHAPTER9Introducing Probability (b) What is the probability that a randomly chosen postmenopausal woman has some problem with low bone density (osteopenia or osteoporosis)? 9.35 Hepatitis C. The CDC provides the breakdown of the sources of infection leading to hepatitis C in America...