Recall the binomial theorem.

1. The binomial expansion of
is

Observe that


When we multiply these by
,
•
and
combine to make 
•
and
combine to make 
and the sum of these terms is

2. The binomial expansion is

We get the
term when
:

Answer:
Brenda
Step-by-step explanation:
You can divide the number of pages by the number of minutes to find the amount of minutes it takes to read 1 page. For Arnold, 3 pages / 7 minutes = 1 page per approximately 0.43 minutes. For Brenda, 8 pages / 14 minutes = 1 page per approximately 0.57 minutes. Brenda reads slightly faster since 0.57 > 0.43
Answer:
8x + 14
Step-by-step explanation:
12x - 4x + 3 + 11 <em>(</em><em>Subtract</em><em> </em><em>12x</em><em> </em><em>-</em><em> </em><em>4x</em><em>)</em>
8x + 3 + 11<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>(</em><em>Add</em><em> </em><em>3</em><em> </em><em>+</em><em> </em><em>1</em><em>1</em><em>)</em>
8x + 14
Tip: the like-terms 12x and 4x can be subtracted like regular numbers because they have the same variable and exponent.
Top boxes: | X | 1 | 2 | 3 |
bottom boxes: | Y=2X - 2 | 0 | 2 | 4 |