For this question, it is reasonable to use the foil method. In order to use FOIL we need to understand what it stands for:
F-First
O-Outside
I-Inside
L-Last
(see attachment for visual)
Let's get started.
We are given:

Start by distributing the 2 first, then the 3, and then lastly the -6
<span><span><span><span><span><span><span>(<span>2x^2</span>)</span>(x)</span>+<span><span>(<span>2x^2</span>)</span><span>(−1)</span></span></span>+<span><span>(3x)</span>(x)</span></span>+<span><span>(3x)</span><span>(−1)</span></span></span>+<span><span>(−6)</span>(x)</span></span>+<span><span>(−6)</span><span>(−1)
From here multiply the terms you have gathered from FOILING:
</span></span></span>

From here we combine like terms. Like terms are terms that contain the same variable and/or exponential value. For example:
3c and 4c are like terms because they have the same variables
24 and 50 are like terms because they are simply numbers without any variables.
It is best to put the like terms together in parentheses so that it is easier to combine them.

Combine:

Final answer:
If you have an further questions, please do not hesitate to comment below! Have a nice day! :)
A^27b^26c^25 would be the smallest number.
This yields a^30b^30c^30.
Matt's volume would be 90 cm. cubed
Mindy's volume would be 90 in. cubed
Graphing is one way to do the problem.But sometimes, graphing it is hard to do.So here’s an algebraic method.
If M(m1, m2) is the midpoint of two points A(x1, y1) and B(x2, y2),then m1 = (x1 + x2)/2 and m2 = (y1 + y2)/2.In other words, the x-coordinate of the midpointis the average of the x-coordinates of the two points,and the y-coordinate of the midpointis the average of the y-coordinates of the two points.
Let B have coordinates (x2, y2) in our problem.Then we have that 6 = (2 + x2)/2 and 8 = (3 + y2)/2.
Solving for the coordinates gives x2 = 10, y2 = 13
C; A and B are incorrect because the shift is not vertical, it is horizontal. This is because 3 is in parenthesis or a 'grouping' (same thing if it is in an exponent) and is being modified. Since the graph is being translated down 3 units, D is incorrect since it is a translation up 3 units. The answer is C.