The simplification of a³ - 1000b³ and 64a³ - 125b³ is (a - 10b) × (a² + 10ab + 100b²) and 4a - 5b) • (16a² + 20ab + 25b²) respectively.
<h3>
Simplification</h3>
Question 1: a³ - 1000b³
a³ - b³
= (a-b) × (a² +ab +b²)
- 1000 is the cube of 10
- a³ is the cube of a¹
- b³ is the cube of b¹
So,
(a - 10b) × (a² + 10ab + 100b²)
Question 2: 64a³ - 125b³
a³ - b³
= (a-b) × (a² +ab +b²)
- 64 is the cube of 4
- 125 is the cube of 5
- a³ is the cube of a¹
- b³ is the cube of b¹
So,
(4a - 5b) • (16a² + 20ab + 25b²)
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Answer:
240 hours
Step-by-step explanation:
One person hour is a unit indicating the rate at which one person is working on the project .
The company estimates that it will take 2880 person- hours to complete the job
So let's determine how many hours it will take 12 workers to complete same job
The rate = 2880 person/hour
12 persons or workers =( 2880 person/hour)/12 persons
12 persons or workers = 2880/12
12 persons or workers=240 hours
It will take 12 workers 240 person hour to finish the project.
Thank you
If the factors of the polynomial are (x - 2), (x), and (x + 2). Then the equation of the graph will be (x³ - 4x).
<h3>What is the
equation of the graph?</h3>
The solutions of the graph are 2, 0, and negative 2.
Then the factor can be given as
(x - 2), (x), and (x + 2)
Then the product of the factor will be given below.
(x - 2) × (x) × (x + 2)
x (x² - 4)
x³ - 4x
More about the equation of the graph link is given below.
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In English, the translation of those symbols is ...
Zero multiplied or divided by anything is zero.
Step-by-step explanation:
given points,
(-2, -1) and (4,3)
we know,
slope of line = y_2 - y_1/ x_2 - x_1
x_1 and y_1 = -2 , -1
x_2 and y_2 = 4 , 3
according to the formula
3 - (-1)/4 - (-2)
→ 3 + 1/4 + 2
→ 4/6
→ 2/3
or (2,3)
therefore, slope of the given line is (2,3).
Hope this answer helps you dear!
