We have been given an expression
. We are asked to factor the given expression by grouping.
First of all, we will make two groups of our expression as:
![(12a^3-9a^2)+( 4a - 3)](https://tex.z-dn.net/?f=%2812a%5E3-9a%5E2%29%2B%28%204a%20-%203%29)
Now we will factor of greatest common factor from each group.
![(3a^2\cdot 4a-3a^2\cdot 3)+( 4a - 3)](https://tex.z-dn.net/?f=%283a%5E2%5Ccdot%204a-3a%5E2%5Ccdot%203%29%2B%28%204a%20-%203%29)
![3a^2(4a-3)+1( 4a-3)](https://tex.z-dn.net/?f=3a%5E2%284a-3%29%2B1%28%204a-3%29)
Now we will factor out common terms
as:
![(4a-3)( 3a^2+1)](https://tex.z-dn.net/?f=%284a-3%29%28%203a%5E2%2B1%29)
Therefore, the factorized form of our given expression would be
.
Answer:
Explanation:
The surface of a lake represents a <em>plane</em> because it extends in all directions at the same level. Imagine it as a quite surface, without imperfections, smooth and perfectly plane, it is a two-dimensional figure.
A fishing line that enters into the water, crossing the lake's surface, representes a <em>line, </em>which may be either perpendicular or leaned.
Thus the intersection of those two figures is a point.
A surface and a line that is not included in the plane and is not parallel to it will meet at a single point, which is what is represented by the situation stated.
Example 1:
The pros of Orthographic is that they can show hidden details and all of the connecting parts, they can be annotated to display material and finishes. The pros of Isometric projection is that they dont need many views and it gives accuracy, cons are is created a unorginized apperance by the lack of foreshortening, I would choose Isometric projection because it shows the size of the figure.
Example 2:
Orthographic projection is a good option for showing lots of detail and small things. The limitation is that with all of that detail, they can become quite messy and hard to understand to someone new to them. However, that is one of the pros of Isometric projection. It gives easy detail and is just as good as an Orthographic. Personally, I find Isometric projections easier to interpret.
Answer is : 3x+4 the second one
I think it's none because that should be communitive and that's not there so.