Answer:
144A+3AC
Step-by-step explanation:
I think you provided half of the problem. Because this does not make sense to any problem I can think of.
<span>The area of mathematics that deals with points, lines, shapes and space. Plane Geometry is about flat shapes like lines, circles and triangles. Solid Geometry is about solid (3-dimensional) shapes like spheres and cubes.</span>
For this case we must simplify the following expression:
![\frac {6-3 \sqrt [3] {6}} {\sqrt [3] {9}}](https://tex.z-dn.net/?f=%5Cfrac%20%7B6-3%20%5Csqrt%20%5B3%5D%20%7B6%7D%7D%20%7B%5Csqrt%20%5B3%5D%20%7B9%7D%7D)
Multiplying the numerator and denominator by![(\sqrt [3] {9}) ^ 2](https://tex.z-dn.net/?f=%28%5Csqrt%20%5B3%5D%20%7B9%7D%29%20%5E%202)
![\frac {6-3 \sqrt [3] {6}} {\sqrt [3] {9}} * \frac {(\sqrt [3] {9}) ^ 2} {(\sqrt [3] { 9}) ^ 2} =](https://tex.z-dn.net/?f=%5Cfrac%20%7B6-3%20%5Csqrt%20%5B3%5D%20%7B6%7D%7D%20%7B%5Csqrt%20%5B3%5D%20%7B9%7D%7D%20%2A%20%5Cfrac%20%7B%28%5Csqrt%20%5B3%5D%20%7B9%7D%29%20%5E%202%7D%20%7B%28%5Csqrt%20%5B3%5D%20%7B%209%7D%29%20%5E%202%7D%20%3D)
We rewrite:
![\frac {\frac {6-3 \sqrt [3] {6}} * (\sqrt [3] {9}) ^ 2} {\sqrt [3] {9} * (\sqrt [3] {9 }) ^ 2} =](https://tex.z-dn.net/?f=%5Cfrac%20%7B%5Cfrac%20%7B6-3%20%5Csqrt%20%5B3%5D%20%7B6%7D%7D%20%2A%20%28%5Csqrt%20%5B3%5D%20%7B9%7D%29%20%5E%202%7D%20%7B%5Csqrt%20%5B3%5D%20%7B9%7D%20%2A%20%28%5Csqrt%20%5B3%5D%20%7B9%20%7D%29%20%5E%202%7D%20%3D)
By properties of powers we have that:
![a ^ m * a ^ n = a ^ {m + n}\\\frac {(6-3 \sqrt [3] {6}) * (\sqrt [3] {9}) ^ 2} {(\sqrt [3] {9}) ^ 3} =\\\frac {(6-3 \sqrt [3] {6}) * (\sqrt [3] {9}) ^ 2} {9} =](https://tex.z-dn.net/?f=a%20%5E%20m%20%2A%20a%20%5E%20n%20%3D%20a%20%5E%20%7Bm%20%2B%20n%7D%5C%5C%5Cfrac%20%7B%286-3%20%5Csqrt%20%5B3%5D%20%7B6%7D%29%20%2A%20%28%5Csqrt%20%5B3%5D%20%7B9%7D%29%20%5E%202%7D%20%7B%28%5Csqrt%20%5B3%5D%20%7B9%7D%29%20%5E%203%7D%20%3D%5C%5C%5Cfrac%20%7B%286-3%20%5Csqrt%20%5B3%5D%20%7B6%7D%29%20%2A%20%28%5Csqrt%20%5B3%5D%20%7B9%7D%29%20%5E%202%7D%20%7B9%7D%20%3D)
We rewrite, moving the exponent within the radical:
![\frac {(6-3 \sqrt [3] {6}) * \sqrt [3] {9 ^ 2}} {9} =\\\frac {(6-3 \sqrt [3] {6}) * \sqrt [3] {81}} {9} =](https://tex.z-dn.net/?f=%5Cfrac%20%7B%286-3%20%5Csqrt%20%5B3%5D%20%7B6%7D%29%20%2A%20%5Csqrt%20%5B3%5D%20%7B9%20%5E%202%7D%7D%20%7B9%7D%20%3D%5C%5C%5Cfrac%20%7B%286-3%20%5Csqrt%20%5B3%5D%20%7B6%7D%29%20%2A%20%5Csqrt%20%5B3%5D%20%7B81%7D%7D%20%7B9%7D%20%3D)
We can rewrite
![\frac {(6-3 \sqrt [3] {6}) * \sqrt [3] {3 * 3 ^ 3}} {9} =](https://tex.z-dn.net/?f=%5Cfrac%20%7B%286-3%20%5Csqrt%20%5B3%5D%20%7B6%7D%29%20%2A%20%5Csqrt%20%5B3%5D%20%7B3%20%2A%203%20%5E%203%7D%7D%20%7B9%7D%20%3D)
We simplify:
![\frac {(6-3 \sqrt [3] {6}) * 3 \sqrt [3] {3}} {9} =](https://tex.z-dn.net/?f=%5Cfrac%20%7B%286-3%20%5Csqrt%20%5B3%5D%20%7B6%7D%29%20%2A%203%20%5Csqrt%20%5B3%5D%20%7B3%7D%7D%20%7B9%7D%20%3D)
We apply distributive property:
![\frac {18 \sqrt [3] {3} -9 \sqrt [3] {18}} {9} =](https://tex.z-dn.net/?f=%5Cfrac%20%7B18%20%5Csqrt%20%5B3%5D%20%7B3%7D%20-9%20%5Csqrt%20%5B3%5D%20%7B18%7D%7D%20%7B9%7D%20%3D)
Simplifying we finally have:
![2 \sqrt [3] {3} - \sqrt [3] {18}](https://tex.z-dn.net/?f=2%20%5Csqrt%20%5B3%5D%20%7B3%7D%20-%20%5Csqrt%20%5B3%5D%20%7B18%7D)
Answer:
![2 \sqrt [3] {3} - \sqrt [3] {18}](https://tex.z-dn.net/?f=2%20%5Csqrt%20%5B3%5D%20%7B3%7D%20-%20%5Csqrt%20%5B3%5D%20%7B18%7D)
Answer:
B) y = 4/3x - 2
Step-by-step explanation:
In pic below.