Ask question

Ask question

All categories

2 years ago

9

HELP HELP HELP HELP HELP HELP (STEP BY STEP)

1 answer:

Marizza181 [45]2 years ago

3 0

With some simple rearrangement, we can rewrite the numerator as

$2x^3 - 3x^2 - x + 4 = 2(x^3 - x) - 3x^2 + x + 4 \\\\ ~~~~~~~~ = 2x(x^2-1) - 3(x^2 - 1) + x + 1 \\\\ ~~~~~~~~ = (2x-3)(x^2-1) + x+1$

Then factorizing the difference of squares, $x^2-1=(x-1)(x+1)$ , we end up with

$\dfrac{2x^3 - 3x^2 - x + 4}{x^2 - 1} = \dfrac{(2x-3)(x-1)(x+1) + x+1}{(x-1)(x+1)} \\\\ ~~~~~~~~ = \boxed{2x-3 + \dfrac1{x-1}}$

You might be interested in

What is 20% of 20 ?

Mariana [72]

The answer is 4.

The easiest way to determine the value of statements like this is to turn the percentage into a decimal and then multiply.

20% * 20

.20 * 20

4

6 0

4 years ago

Read 2 more answers

Is a hectare roughly equal to 2 tennis courts or to 2 soccer fields

lys-0071 [83]

It is most likely equal to two soccer fields

6 0

3 years ago

Read 2 more answers

Speed can be found using the formula s = d/t (d = distance, t = time). True or false

Galina-37 [17]

False, it would be d*t (distance*time)

8 0

3 years ago

Read 2 more answers

Enter your answer and show all the steps that you use to solve this problem in the space provided. Find the values of x and y.

satela [25.4K]

Answer : The value of x and y is, $90^o$ and $43^oC$

Step-by-step explanation :

First we have to calculate the angle B.

As we know that,

The given triangle is an isosceles triangle in which the angles opposite to equal sides are always equal.

Thus, $\angle B=\angle C$

Given : $\angle C=47^o$

$\angle B=\angle C=47^o$

$\angle B=47^o$

Now have to calculate the angle A.

As we know that the sum of interior angles of a triangle is equal to $180^o$ .

$\angle A+\angle B+\angle C=180^o$

$\angle A+47^o+47^o=180^o$

$\angle A+94^o=180^o$

$\angle A=180^o-94^o$

$\angle A=86^o$

Now we have to determine the angle y.

As we know that, line AD is an angle bisector. That means, it divides into two equal angles. So,

$\angle y=\frac{\angle A}{2}$

$\angle y=\frac{86^o}{2}$

$\angle y=43^o$

Now we have to determine the angle x.

As we know that the sum of interior angles of a triangle is equal to $180^o$ .

$\angle y+\angle B+\angle x=180^o$

$43^oc+47^o+\angle x=180^o$

$\angle x+90^o=180^o$

$\angle x=180^o-90^o$

$\angle x=90^o$

Thus, the value of x and y is, $90^o$ and $43^oC$

6 0

3 years ago

A scale drawing of a car is prsented in the following three scales.ordet the scale drawings from smallest to largest.explain you

Murrr4er [49]

Hdhshajsbsbxbxbdbx Xbox

3 0

3 years ago