How do you factor: x^3 - 8 (x cubed minus 8)

Answers

Answer 1

Answer: $x^3 - 8 =x^3-2^3 = (x-2) (x^2 + 2x + 2^2)=(x-2) (x^2 + 2x + 4)\n \n \na^3 - b^3 = (a - b) (a^2 + ab + b^2)$

Answer 2

Answer:

Answer: (x - 2)(x² + 2x + 4)

Step-by-step explanation: In this problem, we're asked to factor x³ - 8.

Notice that x³ is a perfect cube and 8 is a perfect cube because 8 is 2 × 2 × 2 or 2³. So we have the difference of two cubes.

To factor the difference of two cubes, we use the following formula.

a³ - b³ can be factored as (a - b)(a² + ab + b²) and in this problem, since a³ is represented by x³, the value of a is x and since b³ is represented by 8, the value of b is 2.

So substituting x and 2 into the formula for a and b, we have

[(x) - (2)][(x)² + (x)(2) + (2)²] and notice that we changed the parentheses in the formula to brackets so that we're not dealing with too many sets of parentheses.

Next, simplifying inside the second set of brackets and changing the brackets back to parentheses, we have (x - 2)(x² + 2x + 4) which is our final answer.

Related Questions

Can you please help me and quick
Why does it help to write a subtraction problem as an addition problem
On the way back home, the Anderson family must stop at the gas station to fill up. What isthe total distance of their trip? Round your final answer to the nearest kilometer
How do you find the circumference when you ONLY know the area?
Terrance and his family are planning how to pay for his college education. The cost of tuition at his chosen college is $14,500 per year. Terrance's parents will pay 80% of the tuition cost every year and he will pay the rest. Terrance has two years to save enough money to attend his first year of college. What is the minimum amount he should save every month in order to reach his goal? PLZ REPLY ASAP!

Find nth term of 14,23,32,41

Answers

Answer:

The nth term of the series is 5-9n.

Step-by-step explanation:

Given : Series 14, 23, 32, 41,..

To find : The nth term of the series ?

Solution :

The given series 14, 23, 32, 41,.. is an arithmetic series as the difference between term is common.

Where, first term is a=14 and common difference d=23-14=9

The nth term of the arithmetic series is $a_n=a+(n-1)d$

$a_n=a+(n-1)d$

$a_n=14+(n-1)9$

$a_n=14+9n-9$

$a_n=5-9n$

Therefore, The nth term of the series is 5-9n.

1.14
2.23
3.32
4.41
5.50
6.59
7.68
8.77
9.86

The amount of light a star gives off is used to determine the star’s a.number of planets
b.position in the galaxy
c.shape
d.brightness

Answers

b. position in the galaxy

i think its b hope this helps

Each diagram shows a cube intersected by a plane. In which case is the cross section a square?

Answers

In the case 4 is the cross section a square.

Here, we have,

To determine which case represents a cross section of a cube that is a square, we need to look for a cross section where all sides are of equal length and all angles are right angles, which are the defining characteristics of a square.

we know that,

When a plane intersects a cube, the resulting cross section can have various shapes, such as rectangles, triangles, or irregular polygons.

To determine if the cross section is a square, the conditions are:

All sides of the cross section are of equal length.

All angles of the cross section are right angles (90 degrees).

If we can visually inspect the diagrams, carefully examine the sides and angles of the cross sections shown in each case.

in case 4, there is the presence of equal sides and right angles.

we can find in case 4 where all sides are equal and all angles are right angles, then that case 4 represents a square cross section of the cube.

learn more on cross-section:

brainly.com/question/29137035

#SPJ2

complete question :

attached

Answer: Intersection 4

Step-by-step explanation: If you are talking about this question, then the answer is intersection 4.

500 seconds equal how many Giga seconds?0.0000005

0.000005

0.00005

0.0005

Answers

1 second = 0.000000001 Giga seconds

500 * 0.000000001 = 0.0000005 Giga seconds

Final answer:

500 seconds equates to 0.0000005 gigaseconds. This is determined by dividing 500 seconds by 1,000,000,000 seconds (the number of seconds in a gigasecond).

Explanation:

In the field of physics, the measure of time can be broken down into various units. The smallest unit is the second. Higher units include kiloseconds, megaseconds, and gigaseconds. One gigasecond (Gs) is equal to 109 seconds or 1,000,000,000 seconds.

To convert 500 seconds into gigaseconds, you need to divide 500 by 1,000,000,000.

So, 500 seconds = 500 / 1,000,000,000 Gs.

This calculation results in 0.0000005 Gs, which is your answer.

Learn more about Time Conversion here:

brainly.com/question/36044379

#SPJ11

What formula tells the cost, in dollars, ifchocolate chip cookies are $1.50/dozen and
lemon frosteds are $ 1.00/dozen? Let c =
number of dozens of chocolate chip cookies; L=
number of dozens of lemon frosteds; T = total
charge.