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)
Learn more about simplification:
brainly.com/question/723406
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To represent this scenario, you will look at what is happening mathematically and represent it.
Beginning with 5, this will double each day, so 5 x 2 is the deposit.
Then, this amount will double, so (5 x 2) x 2 is the deposit.
Next this will double, and so on.
What is happening is that it is always doubling the previous day's deposit, so x 2 x 2 x 2, etc... you will use exponents to show the number of days that it doubled.
y = 5 x 2^x
Considering the withdraws and credits, Lucia's current available balance is of $65.53.
<h3>How do we find a balance?</h3>
It is given by the sum of the money that the people has with the pending credits, and subtracted by the pending withdraws.
In this problem, we have that:
- Lucia has $412.76, with pending credits of $134.00.
- She has pending withdraws of $481.23.
Hence, her avaiable balance is given by:
412.76 + 134 - 481.23 = $65.53.
More can be learned about balances at brainly.com/question/26867415
Answer:
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Step-by-step explanation:
its on googl and it has the anwser
