Mathematics Middle School

Please elaborate
[tex]Simplify (2x-7)(x+3)-(-3x^{2} -4)[/tex]

Answers

Answer 1

Answer:

[tex]5x^2 - x - 17[/tex]

Step-by-step explanation:

Distribute the terms inside the first set of parentheses:

[tex](2x - 7)(x + 3) = 2x^2 + 6x - 7x - 21[/tex]

Combine like terms:

[tex]= 2x^2 - x - 21[/tex]

Simplify by adding the second part:

[tex]2x^2 - x - 21 - (-3x^2 - 4)[/tex]

Subtracting a negative is the same as adding the positive equivalent:

[tex]= 2x^2 - x - 21 + 3x^2 + 4[/tex]

Combine like terms:

[tex]= 5x^2 - x - 17[/tex]

Answer 2

(2x-7)(x+3)-(-3x^[2] - 4)

====

5x^[2] -x -17

To begin simplifying this expression, we will foil the first half of it:

(2x-7)(x+3)

2x*x + 2x*3 - 7*x - 7*3

2x^[2] + 6x - 7x - 21

With this, we combine like terms:

2x^[2]-x-21

We now have

2x^[2]-x-21-(-3x^[2]-4)

We can now do the binomial distribution in the second half of the expression. Remember, the - sign in front of the parentheses means we are negating everything inside. In other words, we are multiplying -1 by everything inside the parentheses. Following this:

-(-3x^[2]-4) becomes

-1*-3x^[2] + -1*-4 = 3x^[2]+4

We have now simplified the first and second half of our expression, so we have:

2x^[2]-x-21+3x^[2]+4

And combining like terms we get

2x^[2]+3x^[2]-x-21+4 =

5x^[2] -x -17

We can use the quadratic expression to determine if the trinomial can be factored evenly, but it cannot so we have our final simplifed expression!

Related Questions

Other Questions
NK cells bind O MHC I O dendritic cells O APCs complementO MHC II This assignment is to be completed either individually or in your teams. You can use only the article "The core competence of the corporation?". If you use information from the internet, etc. you will receive a zero. When you are mentioning content from the article you must paraphrase and provide APA in-text citations and a reference, otherwise, you will receive a zero for plagiarism (learn about APA here: https://www.lib.sfu.ca/help/cite-write/citation-style-guides/apa). Name your document as follows: "BUS200 Class 6 Mini 3 Your Legal Name(s)". Include all the names on the title page. Questions: 1. What is the difference between core competencies and strengths in a personal setting (not corporate)? 2. Name and describe 5 strategies of capitalizing on your core competencies to perform better on your first job. 3. What advantage will you have in the market when creating a business around your core competency? Two particles are launched sequentially. Particle 1 is launched with speed 0.594c to the east. Particle 2 is launched with speed 0.617c to the north but at time 2.28ms later. After the second particle is launched, what is the speed of particle 2 as seen by particle 1 (as a fraction of c)? Weak Acid-Strong Base Titrations 1. A 50.0 mL sample of 0.500 M HCH,O acid is titrated with 0.150 M NaOH. K. = 1.8x10 for HCHO. Calculate the pH of the solution after the following volu Find the common difference, \( d \), in the given sequence: \[ a_{1}=3 x+4 y, \quad a_{2}=7 x+5 y, \quad a_{3}=11 x+6 y \] ATP is produced through which of the following mechanisms? (choose all that apply)a. Glycolysisb. Krebs/TCA cyclec. Electron transport in the mitochodriad. the operation of ATP synthase What are the sizes of the EcoRI restriction fragments for Plasmid X below? (Select all correct answers ) EcoRI (450) Plasmid X (3525 bp) EcoRI (2400) EcoRI (1700) Sclect one more: 1075 bp b.1575 bp 700 bp 3025 bp A five cylinder, internal combustion engine rotates at 775 rev/min. The distance between cylinder center lines is 270 mm and the successive cranks are 144 apart. The reciprocating mass for each cylinder is 9.6 kg, the crank radius is 81 mm and the connecting rod length is 324 mm. For the engine described above answer the following questions : - What is the magnitude of the out of balance primary force. - What is the magnitude of the out of balance primary couple. (Answer in N.m - one decimal place) - What is the magnitude of the out of balance secondary force. - What is the magnitude of the out of balance secondary couple. (Answer in N.m - one decimal place) Consider the two processes of vaporization and condensation of water by changing the temperature of the system at a constant pressure. Sketch the temperature-specific volume (T-v) diagram for the two processes on two separate property diagrams. Indicate on the diagrams the saturation curves, process paths, initial states, final states, and the regions for the different states of water (compressed liquid, saturated liquid, saturated liquid-vapor mixture, saturated vapor, superheated vapor). Explain the difference(s) between the process path of the two diagrams for vaporization and condensation Canyou please solve this quistion and anwser the three quistions belowwith clear details .Find the velocity v and position x as a function of time, for a particle of mass m, which starts from rest at x-0 and t=0, subject to the following force function: F = Foe-at 4 Where Fo & are posit 2.25 kg of a fluid having a volume of 0.1 m are contained in a cylinder at constant pressure of 7 bar. Heat energy is supplied to the fluid until the volume becomes 0.2 m. If the initial and final specific enthalpies of the fluid are 210 kJ/kg and 280 kJ/kg respectively, determine, (a) the quantity of heat energy supplied to the fluid, (b) the change in internal energy of the fluid. (157.5 kJ, 87.5 kJ ) A mixture of gas expands from 0.03 m to 0.06 m at a constant pressure of 1MPa and absorbs 84 kJ of heat during the process. What is the change in internal energy of the mixture? (54 kJ) If a prescription is for an eye or car drop, the directions should begin with which cthe following?O TakeO DropO InstillPut 8. Why does the Solar System rotate? * (1 Point) The planets exert gravitational forces on each other. As the Solar System formed, its moment of inertia decreased. The Sun exerts gravitational forces Hi,please assist with this question.Thank You.A human variable number of tandem repeats (VNTR) locus contains a tandem repeat (TTA), where n may be between 5 and 15. How many alleles of this locus are possible in the human population? Use the function value to find the indicated trigonometric value in the specified quadrant. Function Value Quadrant Trigonometric Value sec(0) = _ 17 III cot(8) 14 cot(8) = Line Balance Rate tells us how well a line is balanced. Workstation 1 Cycle Time is 2 min Workstation 2 Cycle Time is 4 min Workstation 3 Cycle Time is 6 min Workstation 4 Cycle Time is 4.5 min Workstation 5 Cycle Time is 3 min What is the Line Balance Rate %? Where is the bottleneck? Based on the Line Balance Rate result, what is your recommendation to improve the LBR%? Why? Market works to satisfy her need for basic survival food clothing shelter and the like of the following which level of needs is market working to fulfill a esteem B physiological C security D self actualization After recovering from a disease, the body is specifically immune to that disease, protected from reinfection because which of the following remain in the body following the illness. O memory cells and antibodies O red blood cells O increased blood volume O macrophages quicklyQ9) DOK 2 Calculate the binding energy per nucleon of the gold-197 nucleus. (=931.49 MeV/u; atomic mass of Au-196.966 543u; atomic mass of 'H=1.007 825u; m = 1.008 665u) (4 Marks) I mark 1 mark I ma What words is the term INSOLATION taken from? How do we defineinsolation, and how is insolation different from the measure of theamount of sunlight reaching the surface of the Earth?