![\huge \boxed{\mathfrak{Question} \downarrow}](https://tex.z-dn.net/?f=%20%5Chuge%20%5Cboxed%7B%5Cmathfrak%7BQuestion%7D%20%5Cdownarrow%7D)
- 8x cube minus 27y cube divided by 2x minus 3y.
![\large \boxed{\mathbb{ANSWER \: WITH \: EXPLANATION} \downarrow}](https://tex.z-dn.net/?f=%20%5Clarge%20%5Cboxed%7B%5Cmathbb%7BANSWER%20%5C%3A%20WITH%20%5C%3A%20EXPLANATION%7D%20%5Cdownarrow%7D)
![\sf\frac { 8 x ^ { 3 } - 27 y ^ { 3 } } { 2 x - 3 y } \\](https://tex.z-dn.net/?f=%20%5Csf%5Cfrac%20%7B%208%20x%20%5E%20%7B%203%20%7D%20-%2027%20y%20%5E%20%7B%203%20%7D%20%7D%20%7B%202%20x%20-%203%20y%20%7D%20%5C%5C%20)
Factor the expressions that are not already factored.
<u>How </u><u>to </u><u>factorise</u><u> </u><u>:</u><u>-</u><u> </u>
Rewrite
as
. The difference of cubes can be factored using the algebraic rule:
.
![\rightarrow \sf \: \frac{\left(2x-3y\right)\left(4x^{2}+6xy+9y^{2}\right)}{2x-3y} \\](https://tex.z-dn.net/?f=%5Crightarrow%20%5Csf%20%5C%3A%20%5Cfrac%7B%5Cleft%282x-3y%5Cright%29%5Cleft%284x%5E%7B2%7D%2B6xy%2B9y%5E%7B2%7D%5Cright%29%7D%7B2x-3y%7D%20%5C%5C%20%20)
Cancel out 2x-3y in both the numerator and denominator.
![\boxed{ \boxed{ \bf \: 4x^{2}+6xy+9y^{2} }}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Cboxed%7B%20%5Cbf%20%5C%3A%204x%5E%7B2%7D%2B6xy%2B9y%5E%7B2%7D%20%7D%7D)
Answer:
x ≤ 9
Step-by-step explanation:
x - 6 ≤ 3
+ 6 + 6
X ≤ 9
Answer:
linear expressions is the answer