Help!!! What is the difference ? (x - 8)/(3x) - (3x)/(x ^ 2)

Answers

Answer 1

Answer:

Given that you're providing only a single term, asking for a difference doesn't make a lot of sense.  I assume you're asking to have the expression simplified?

If so, then it can be reduced to (x - 17) / 3x

Step-by-step explanation:

You can simplify by multiplying both terms each by a different ratio that equals one, but also gives the terms common denominator.  Multiplying the first one by x²/x² and the second by 3x/3x will do that for you.

After that you can group the terms into one fraction and simplify:

[tex]\frac{x - 8}{3x} - \frac{3x}{x^2} \\\\= \frac{x - 8}{3x}\times\frac{x^2}{x^2} - \frac{3x}{x^2} \times\frac{3x}{3x} \\\\= \frac{x^3 - 8x^2}{3x^3} - \frac{9x^2}{3x^3} \\\\= \frac{x^3 - 8x^2 - 9x^2}{3x^3} \\\\= \frac{x - 8 - 9}{3x}\\\\= \frac{x - 17}{3x}\\[/tex]

Answer 2

Answer:

The difference of [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]  is [tex]\mathbf{\frac{x-17}{3x}}[/tex]

Step-by-step explanation:

We need to find the difference: [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]

Simplifying to find the difference:

[tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]

x is common in both 3x and x^2 so, we can cancel it out and we get:

[tex]=\frac{x-8}{3x}-\frac{3x}{x(x)}\\=\frac{x-8}{3x}-\frac{3}{x}[/tex]

Now, taking LCM of 3x and x we get 3x, We will multiply 3x with both terms and then solve we get:

[tex]=\frac{x-8-3(3)}{3x}\\=\frac{x-8-9}{3x}\\=\frac{x-17}{3x}[/tex]

It cannot be further simplified, so we get [tex]\frac{x-17}{3x}[/tex] as answer.

So, The difference of [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]  is [tex]\mathbf{\frac{x-17}{3x}}[/tex]


Related Questions

How many groups of 1/4 are in 3?”

Answers

Answer: 12

Step-by-step explanation:

there are 12 because

1/4 = 0.25
2/4 = 0.50
3/4 = 0.75
4/4 = 1.00

If you do this three times, It will have an end result of twelve

hope this helps!!

What is the value − 3 1/4 ∙ 2 1/3

Answers

Answer:

the value of this is-217÷4 = -54.25

What is the value of x?

Answers

(X + 5)(x + 4) = (x + 12)(x + 1)
x^2 + 9x + 20 = x^2 + 13x + 12
4x = 8
x = 2

x = 2

Conray is 72 years old. He is three times his daughter's age. His daughter is three years younger than Nia.
How old is Nia?
1️⃣0️⃣‼ POINTS!!!​

Answers

Answer: 27 I think

Step-by-step explanation:

72 divided by 3 plus 3

The age of Nia is given by the equation N = 27 years old

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the age of Nia be represented as N

Now , the equation will be

Let the age of Conray be C

The value of C = 72 years

And , Conray is three times his daughter's age

Let the age of Conray's daughter be D

The value of D = C / 3

Substituting the values in the equation , we get

The value of D = 72/3 = 24 years

And , Conray's daughter is three years younger than Nia

So , N = D + 3

Substituting the values in the equation , we get

N = 24 + 3

On simplifying the equation , we get

N = 27 years

Therefore , the value of N is 27 years

Hence , the age of Nia is 27 years

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Could someone good at geometry help me please. I will mark brainliest!! :)

Answers

The angle to the right of 78 is 102 the angle to the left of 102 is 78 the one under the 78 is 102 the one above 78 is 102 the one under the 102 is 78 and the one to the left and down of 78 is 78

Sushil and Fiona win some money and share it in the ratio 4:1. Sushil gets £33 more than
Fiona. How much did they get altogether?

Answers

Sushli 4x
Fiona x
Sushli x+33
X+33=4x
3x=33
x=11

x+4x=5x=£55

VOTING BRAINLIEST 10 POINTS! Rectangle PQRS and its side lengths are shown in the figure.

Which side lengths belong to a rectangle that is NOT similar to rectangle PQRS?
A. 4.5 ft by 3 ft
B. 13.5 ft by 9 ft
C. 6 ft by 4 ft
D. 12 ft by 9 ft

Answers

Answer:

its 100% d.)

Step-by-step explanation:

plz mark me

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