What is the difference x +5/ x +2 - x + 1/x ^2 + 2x?

Answers

Answer 1

Answer: ANSWER
The difference is,

$\frac{ {x}^(2) + 4x - 1}{ {x}^(2) + 2x}$

EXPLANATION

To find the difference, we just have to simplify the expression.

The given expression is

$(x + 5)/(x + 2) - \frac{(x + 1)}{ {x}^(2) + 2x}$

We factor the denominator of the second fraction to get,

$=(x + 5)/(x + 2) - ((x + 1))/( x( x+ 2))$

We can now see clearly that the LCM is

$x(x + 2)$

We collect LCM to get,

$=(x(x + 5) - (x + 1))/( x( x+ 2))$
We now expand the bracket to obtain,

$=\frac{ {x}^(2) + 5x - x - 1}{ {x}^(2) + 2x}$

This gives us,

$=\frac{ {x}^(2) + 4x - 1}{ {x}^(2) + 2x}$

Answer 2

Answer: The difference will be given by:
(x +5)/ (x +2) - (x + 1)/(x ^2 + 2x)
=(x +5)/ (x +2) - (x + 1)/[x (x + 2)]
the LCM is x(x+2)
thus the difference will be:
[x(x+5)-(x+1)]/(x (x + 2))
=[x^2+5x-x-1]/[x(x+2)]
=(x^2-4x-1)/[x(x+2)]

Answer:(x^2-4x-1)/[x(x+2)]

Related Questions

What is the missing term? Please help me
What is the value of x in the quadrilateral shown below?12509591059ToO A. 35°OB. 45°O C. 55°
What can you say about a solution of the equation y' = - y2 just by looking at the differential equation? The function y must be decreasing (or equal to 0) on any interval on which it is defined. The function y must be increasing (or equal to 0) on any interval on which it is defined.
Please Help!!In 2010, Martin paid $5,518.00 in Social Security tax. The SS tax rate was 6.2%. What was Martin's taxable income in 2010?
Solve the following problem:

2. Use the binomial theorem to expand the expression. (а — 2b)^5

Answers

Answer:

$(a-2b)^(5)=-32b^(5)+80ab^(4)-80a^(2)b^(3)+40a^(3)b^(2)-10a^(4)b+a^(5)$

Step-by-step explanation:

The binomial expansion is given by:

$(x+y)^(n)=_(0)^(n)\textrm{C}x^{^(0)}y^(n)+_(1)^(n-1)\textrm{C}x^(1)y^(n-1)+...+_(n)^(n)\textrm{C}x^(n)y^(0)$

In our case we have

$x=a\ny=-2b\nn=5$

Thus using the given terms in the binomial expansion we get

$(a-2b)^(5)=_(0)^(5)\textrm{C}a^(0)(-2b)^(5)+_(1)^(5)\textrm{C}a^{^(1)}(-2b)^(4)+{_(2)^(5)\textrm{C}}a^(2)(-2b)^(3)+_(3)^(5)\textrm{C}a^(3)(-2b)^(2)+_(4)^(5)\textrm{C}a^(4)(-2b)^(1)+_(5)^(5)\textrm{C}a^(5)(-2b)^(0)$

Upon solving we get

$(a-2b)^(5)=-32b^(5)+5* a*16b^(4)+10* a^(2) * (-8b^(3))+10* a^(3)* 4b^(2)+5* a^(4)* (-2b)+a^(5)\n\n(a-2b)^(5)=-32b^(5)+80ab^(4)-80a^(2)b^(3)+40a^(3)b^(2)-10a^(4)b+a^(5)$

The ratio of green apples to red apples at a grocery store is 2 to 3. There are 78 red apples at the grocery store. What is the total number of apples at the store?

Answers

Answer:

Step-by-step explanation:

78 divided by 3 is 26

26 times 2 is 52

Give the domain and range of the relation (1, -8),(-7, 8),(-3,7),(-3,-5)

Answers

Answer:

Domain = {-3, 1, -7}

Range = {-8, 8, 7, -5}

Step-by-step explanation:

Find the zeros of the function
k(x) = -5x² - 125
The zeros of k are x= □ and x= □

Answers

Answer:

x = ±5i

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Alg II

√-1 is imaginary number i

Step-by-step explanation:

Step 1: Define function

k(x) = -5x² - 125

Step 2: Find roots

Set function equal to 0: 0 = -5x² - 125
Factor out -5: 0 = -5(x² + 25)
Divide both sides by -5: 0 = x² + 25
Subtract 25 on both sides: -25 = x²
Rewrite: x² = -25
Square root both sides: x = ±√-25
Rewrite: x = √-1 · ±√25
Evaluate: x = ±5i

A 1-kg model airplane has 12.5 joules of kinetic energy and 98 joules of gravitational potential energy. What is its speed? What is its height?

Answers

The formula for the kinetic energy is:

Ke = 0.5mv^2

Where ke is the kinetic enrgy

M is the mass

V is the velocity

Ke = 0.5mv^2

12.5 = 0.5(1) v^2

Solve for v

V = 5 m/s

Potential energy, pe = mgh

Where m is mass

G is accelearation due to gravity 9.8 m/s2

H is the height

98 = (1)(9.8) h

H = 10 m

Find the surface area of thetriangular prism.
6 m
8 m
7 m
10 m
[?] sqm

Answers

Answer:

the answer is 10

Step-by-step explanation:

Other Questions

Helen earns $7.50 an hour at her job, but if she works more than 35 hours in a week, she is paid 1 1/2 times her regular salary for the overtime hours worked. One week her gross pay was $307.50. How many overtime hours did she work that week?

"write a program that takes as input an arithmetic expression. the program outputs whether the expression contains matching grouping symbols. for example, the arithmetic expressions {25 + (3 – 6) * 8} and 7 + 8 * 2 contains matching grouping symbols. however, the expression 5+{(13+7)/8-2*9 does not contain matching grouping symbols."

What is 9x-2?????????????

Penyelesaian0.02 m: 3 cm: 4.6 cm = 2 cm : 3 cm: 4.6 cm= 2 : 3 : 4.620 : 30 : 4610 : 1523Latih Diri 4.1a1. Wakilkan hubungan antara tiga kuantiti berikut dalam bentuk a : b:c.(a) 2 minggu kepada 16 hari kepada 1 minggu(b) 0.1 kg kepada 50 g kepada 0.25 kg(c) 4 minit kepada 120 saat kepada 1.6 jam(d 3 m kepada 480 cm kepada 6 400 mm2. Tahir membayar RM5.60 untuk sepinggan nasi beriani, RM1.20 untuk segelas tehdan 30 sen untuk sekeping kuih. Wakilkan hubungan harga bagi nasi beriani, teh dankuih dalam bentuk a:b:c.76BAB 4