The algebraic expression which represents the square of the difference of s and 6 is (s - 6)²
Step-by-step explanation:
Let us represent some words by mathematics expressions
- Square a number ⇒ x²
- Square the sum of two numbers ⇒ (x + y)²
- Sum of the squares of two numbers ⇒ x² + y²
- Square of difference of two numbers (x - y)²
- The difference of square two numbers x² - y²
∵ The expression is the square of the difference of s and 6
- That means find the difference between s and 6 at first,
then square the difference
∵ The difference of s and 6 = s - 6
- Square this difference means but the difference in a bracket
and then square the bracket
∴ The square of the difference = (s - 6)²
The algebraic expression which represents the square of the difference of s and 6 is (s - 6)²
Learn more:
You can learn more about the algebraic expressions in brainly.com/question/10771256
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Answer:
1. ![(\sqrt[5]{(m+2)})^{3} = (m+2)^{\frac{3}{5}}](https://tex.z-dn.net/?f=%28%5Csqrt%5B5%5D%7B%28m%2B2%29%7D%29%5E%7B3%7D%20%3D%20%20%28m%2B2%29%5E%7B%5Cfrac%7B3%7D%7B5%7D%7D)
2. ![(\sqrt[3]{(m+2)})^{5} = (m+2)^{\frac{5}{3}}](https://tex.z-dn.net/?f=%28%5Csqrt%5B3%5D%7B%28m%2B2%29%7D%29%5E%7B5%7D%20%3D%20%20%28m%2B2%29%5E%7B%5Cfrac%7B5%7D%7B3%7D%7D)
3. ![\sqrt[5]{(m)}^{3}+2 = m^{\frac{3}{5}}+2](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B%28m%29%7D%5E%7B3%7D%2B2%20%3D%20%20m%5E%7B%5Cfrac%7B3%7D%7B5%7D%7D%2B2)
4. ![\sqrt[3]{(m)}^{5}+2 = m^{\frac{5}{3}}+2](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%28m%29%7D%5E%7B5%7D%2B2%20%3D%20%20m%5E%7B%5Cfrac%7B5%7D%7B3%7D%7D%2B2)
Step-by-step explanation:
Recall that
![(\sqrt[n]{x})^{m} = (x^{\frac{m}{n}})](https://tex.z-dn.net/?f=%28%5Csqrt%5Bn%5D%7Bx%7D%29%5E%7Bm%7D%20%3D%20%20%28x%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%7D%29)
Where 
is called radicand and n is called index
1. Root(5, (m + 2) ^ 3)
In this case,
n is 5
m is 3
x = (m + 2)
2. Root(3, (m + 2) ^ 5)
In this case,
n is 3
m is 5
x = (m + 2)
3. Root(5, m ^ 3) + 2
In this case,
n is 5
m is 3
x = m
4. Root(3, m ^ 5) + 2
In this case,
n is 3
m is 5
x = m
I think that it would be C, but I am debating on C and D. I'm pretty confident that it's C, though. Pretty sure.
