A cube is an expression that has a power of 3
In algebra, the sum and the difference of two cubes are represented as:
![\mathbf{x^3+y^3=(x+y)(x^2-xy+y^2)}](https://tex.z-dn.net/?f=%5Cmathbf%7Bx%5E3%2By%5E3%3D%28x%2By%29%28x%5E2-xy%2By%5E2%29%7D)
<em>The options are not clear, so I will give instances.</em>
![\mathbf{(a)\ 64 - a^3}](https://tex.z-dn.net/?f=%5Cmathbf%7B%28a%29%5C%2064%20-%20a%5E3%7D)
To expand, we make use of:
Express 64 as 4^3
![\mathbf{64 - a^3 = 4^3 - a^3}](https://tex.z-dn.net/?f=%5Cmathbf%7B64%20-%20a%5E3%20%3D%204%5E3%20-%20a%5E3%7D)
By comparison:
x = 4, y = a
So, we have:
![\mathbf{64 - a^3 =(4 - a)(4^2+4a+a^2)}](https://tex.z-dn.net/?f=%5Cmathbf%7B64%20-%20a%5E3%20%3D%284%20-%20a%29%284%5E2%2B4a%2Ba%5E2%29%7D)
![\mathbf{64 - a^3 =(4 - a)(16+4a+a^2)}](https://tex.z-dn.net/?f=%5Cmathbf%7B64%20-%20a%5E3%20%3D%284%20-%20a%29%2816%2B4a%2Ba%5E2%29%7D)
Hence, the expanded form of
is:
![\mathbf{64 - a^3 =(4 - a)(16+4a+a^2)}](https://tex.z-dn.net/?f=%5Cmathbf%7B64%20-%20a%5E3%20%3D%284%20-%20a%29%2816%2B4a%2Ba%5E2%29%7D)
![\mathbf{(b)\ 75 - n^3}](https://tex.z-dn.net/?f=%5Cmathbf%7B%28b%29%5C%2075%20-%20n%5E3%7D)
Rewrite as:
![\mathbf{75 - n^3 = 5^3 - n^3}](https://tex.z-dn.net/?f=%5Cmathbf%7B75%20-%20n%5E3%20%3D%205%5E3%20-%20n%5E3%7D)
Expand using:
![\mathbf{75 - n^3 = (5- n)(5^2 + 5n + n^2)}](https://tex.z-dn.net/?f=%5Cmathbf%7B75%20-%20n%5E3%20%3D%20%285-%20n%29%285%5E2%20%2B%205n%20%2B%20n%5E2%29%7D)
![\mathbf{75 - n^3 = (5- n)(25 + 5n + n^2)}](https://tex.z-dn.net/?f=%5Cmathbf%7B75%20-%20n%5E3%20%3D%20%285-%20n%29%2825%20%2B%205n%20%2B%20n%5E2%29%7D)
Read more about sums and differences of cubes at:
brainly.com/question/17077929
Answer:
Impossible.
Explanation:
It is impossible to find someone with the same exact finger print as you because everyone has different finger prints from other people, the same goes for tongue prints as well.
I hope it helps! Have a great day!
bored~
Answer:
I think B) Lines 53-56 (“Late ... extravagance")
Answer: Xylem carries water from the roots to the leaves.
Explanation:
The above option is a missing option to your question and the correct one.
The Xylem is a kind of vascular tissue that plants have which helps in the transportation of water. It gets water from the roots and transports it to the leaves. It also transports dissolved minerals in the water to those leaves as well.
Phloem tissue transports food from the leaves where it is made to the roots.