1 answer

How do you combine #(3x-2)*[x/(3x^2+x-2)+2/(x+1)]#?

Question:

How do you combine #(3x-2)*[x/(3x^2+x-2)+2/(x+1)]#?

Answers

#(3x-2)*[x/(3x^2+x-2)+2/(x+1)]=(7x-4)/(x+1)#

Explanation:

Let us first factorize #3x^2+x-2#

#3x^2+x-2=3x^2+3x-2x-2#

= #3x(x+1)-2(x+1)#

= #(3x-2)(x+1)#

Hence #(3x-2)*[x/(3x^2+x-2)+2/(x+1)]#

= #(3x-2)*[x/((3x-2)(x+1))+2/(x+1)]#

= #(3x-2)xx x/((3x-2)(x+1))+(3x-2)xx2/(x+1)#

= #cancel(3x-2)xx x/(cancel((3x-2))(x+1))+(2(3x-2))/(x+1)#

= #x/(x+1)+(2(3x-2))/(x+1)#

= #(x+2(3x-2))/(x+1)#

= #(x+6x-4)/(x+1)#

= #(7x-4)/(x+1)#

.

Similar Solved Questions

1 answer
389. The nurse is supervising a student nurse administer a tube feeding to a client via...
389. The nurse is supervising a student nurse administer a tube feeding to a client via Levin tube. Which of the following actions, if performed by the student nurse, indicates a proper understanding of the correct procedure? 1. The Levin tube remains unclamped for 30 minutes after the feeding 2. St...
1 answer
QUESTION 3 10 points Save Two blocks of masses mi -2 kg and m2 1.91 kg...
QUESTION 3 10 points Save Two blocks of masses mi -2 kg and m2 1.91 kg are connected by a string. One block (m1) slides on a table and the other (m2) hangs from the string, which passes over a pulley. The coefficient of kinetic friction is o.20. What is acceleration of the blocks?...
1 answer
At an intersection of hospital hallways, a convex spherical mirror is mounted high on a wall...
At an intersection of hospital hallways, a convex spherical mirror is mounted high on a wall to help people avoid collisions. The magnitude of the mirror's radius of curvature is 0.524 m. (a) Locate the image of a patient 12.0 m from the mirror. (Use the correct sign conventions.) 0.39 Apply the...
1 answer
7. Calculation: Consider a PV cell with current output of 0.01 A/em2, and Suppose this cell is to be incorporated into a panel with rated output of 100W at cost for manufacturing the cell materia...
7. Calculation: Consider a PV cell with current output of 0.01 A/em2, and Suppose this cell is to be incorporated into a panel with rated output of 100W at cost for manufacturing the cell material including labor, and so forth, is so.o approximately square, with 10cm on each s assembly labor, adds 2...
1 answer
Explain the mechanisms the following organisms affect their host tissues by causing diseases. 5 members of...
Explain the mechanisms the following organisms affect their host tissues by causing diseases. 5 members of the genus Treponemes Borrelia 5 members of the vibrio species Ritckettsiales Coexiella and Bartonella Chlamydias and mycoplasmas Organisms that causes dental diseases...
1 answer
Questions 4&5&6 are incorrect What is the correct statement regarding individuals involved in Health Surveillance? Select...
Questions 4&5&6 are incorrect What is the correct statement regarding individuals involved in Health Surveillance? Select one: The Responsible Person does not necessarily have specific training in the recognition of potential ill-health . The Responsible Person will make a diagnosis o...
1 answer
Design and explain a nutrition assessment tool that can be used in a hospital to collect...
Design and explain a nutrition assessment tool that can be used in a hospital to collect data from diabetic patients in an out-patient clinic...
1 answer
How do you solve the system of equations #-4x+8y=0# and #3x+2y=2# by elimination?
How do you solve the system of equations #-4x+8y=0# and #3x+2y=2# by elimination?...
1 answer
A soda company advertises that the distribution of ounces in all their cans of soda has...
A soda company advertises that the distribution of ounces in all their cans of soda has a mean of µ = 12 ounces and a standard deviation of σ = 0.2 ounces. Suppose you purchase a case of 30 cans of Sweet Relief (their most popular flavor) and calculate that their average fill...
1 answer
Please show explanation thank you 3. What are the magnitude and the direction of the force...
Please show explanation thank you 3. What are the magnitude and the direction of the force on a -5.31-nC charge in an electric field of +2750 N/C i-8830 N/C a. 49.1 HN, 107.3° (with respect to the tx-axis) b. 49.1 HN, -72.7° (with respect to the tx-axis) C. 32.3 N,-72.70 (with respect to the...
1 answer
Dr. Roberts works with a team of medical professionals who treat people who are HIV+. Several...
Dr. Roberts works with a team of medical professionals who treat people who are HIV+. Several of his patients have complained about the side effects of one anti-viral drug. A couple of them insisted on taking a break. When they did, their viral loads actually dropped – indicating a decrease in...
1 answer
X=3 Question 3. A crank shaft mechanism is shown in Figure 3. Link Bis rotating with...
x=3 Question 3. A crank shaft mechanism is shown in Figure 3. Link Bis rotating with a constant angular velocity wgaz in the fixed reference frame A as shown in the figure. For this mechanism: (a) Using the vector kinematic equations and methods taught in this [20 marks] module, obtain the expressi...
1 answer
HELP Activity-Based Costing for a Service Business Sterling Hotel uses activity-based costing to determine the cost...
HELP Activity-Based Costing for a Service Business Sterling Hotel uses activity-based costing to determine the cost of servicing customers. There are three activity pools: guest check-in, room cleaning, and meal service. The activity rates associated with each activity pool are $8.10 per quest ...
1 answer
A compound disk of outside diameter 140 cm is made up of a uniform solid disk...
A compound disk of outside diameter 140 cm is made up of a uniform solid disk of radius 45.0 cmand area density 4.60 g/cm2 surrounded by a concentric ring of inner radius 45.0 cm , outer radius 70.0 cm , and area density 2.70 g/cm2 . Find the moment of inertia of this object about an axis perpendicu...
1 answer
A horizontal length of current-carrying wire is suspended from two identical flexible leads that are under...
A horizontal length of current-carrying wire is suspended from two identical flexible leads that are under tension due to the weight of the wire. The wire is oriented at right angles to a uniform magnetic field that has a magnitude of 4 T and is directed out of the screen of the figure. The length L...
1 answer
Draw, to any reasonable scale with straight edge and curve drawing aid, the shear and moment...
Draw, to any reasonable scale with straight edge and curve drawing aid, the shear and moment diagrams for beams A through F 1.5 klf A) 12-O" 18'-0" 25 kips 25 kips 12-0" 16'- 0" 12'-0" 25 kips 35 kips 20 kips C) 15'-O" 15'-O" 18 kips 18 kips 24 kips 3....